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1994488320 = 29351123609
BaseRepresentation
bin111011011100001…
…0111101000000000
312010222222111121210
41312320113220000
513041042111240
6525524450120
7100265604516
oct16670275000
95128874553
101994488320
11933922660
12477b49940
1325a297706
1414cc624b6
15ba174780
hex76e17a00

1994488320 has 160 divisors (see below), whose sum is σ = 6956072640. Its totient is φ = 483491840.

The previous prime is 1994488313. The next prime is 1994488373. The reversal of 1994488320 is 238844991.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1994488320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72676 + ... + 96284.

It is an arithmetic number, because the mean of its divisors is an integer number (43475454).

Almost surely, 21994488320 is an apocalyptic number.

1994488320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1994488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478036320).

1994488320 is an abundant number, since it is smaller than the sum of its proper divisors (4961584320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1994488320 is a wasteful number, since it uses less digits than its factorization.

1994488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23646 (or 23630 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1994488320 is about 44659.6945802364. The cubic root of 1994488320 is about 1258.7626048038.

The spelling of 1994488320 in words is "one billion, nine hundred ninety-four million, four hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 23609 28160 42240 47218 70827 84480 94436 118045 141654 188872 236090 259699 283308 354135 377744 472180 519398 566616 708270 755488 779097 944360 1038796 1133232 1298495 1416540 1510976 1558194 1888720 2077592 2266464 2596990 2833080 3021952 3116388 3777440 3895485 4155184 4532928 5193980 5666160 6043904 6232776 7554880 7790970 8310368 9065856 10387960 11332320 12087808 12465552 15109760 15581940 16620736 18131712 20775920 22664640 24931104 30219520 31163880 33241472 36263424 41551840 45329280 49862208 60439040 62327760 66482944 83103680 90658560 99724416 124655520 132965888 166207360 181317120 199448832 249311040 332414720 398897664 498622080 664829440 997244160 1994488320