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1994763320 = 2351123439449
BaseRepresentation
bin111011011100101…
…1010110000111000
312011000111110211222
41312321122300320
513041124411240
6525534411212
7100301131334
oct16671326070
95130443758
101994763320
11933aa0230
12478060b08
1325a362934
1414ccd47c4
15ba1caeb5
hex76e5ac38

1994763320 has 128 divisors (see below), whose sum is σ = 5132160000. Its totient is φ = 690708480.

The previous prime is 1994763307. The next prime is 1994763361. The reversal of 1994763320 is 233674991.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4442456 + ... + 4442904.

It is an arithmetic number, because the mean of its divisors is an integer number (40095000).

Almost surely, 21994763320 is an apocalyptic number.

1994763320 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 1994763320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566080000).

1994763320 is an abundant number, since it is smaller than the sum of its proper divisors (3137396680).

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

1994763320 is a wasteful number, since it uses less digits than its factorization.

1994763320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 1994763320 is about 44662.7733129057. The cubic root of 1994763320 is about 1258.8204548640.

The spelling of 1994763320 in words is "one billion, nine hundred ninety-four million, seven hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 439 440 449 460 506 878 898 920 1012 1265 1756 1796 2024 2195 2245 2530 3512 3592 4390 4490 4829 4939 5060 8780 8980 9658 9878 10097 10120 10327 17560 17960 19316 19756 20194 20654 24145 24695 38632 39512 40388 41308 48290 49390 50485 51635 80776 82616 96580 98780 100970 103270 111067 113597 193160 197111 197560 201940 206540 222134 227194 394222 403880 413080 444268 454388 555335 567985 788444 888536 908776 985555 1110670 1135970 1576888 1971110 2168221 2221340 2271940 3942220 4336442 4442680 4533553 4543880 7884440 8672884 9067106 10841105 17345768 18134212 21682210 22667765 36268424 43364420 45335530 49869083 86728840 90671060 99738166 181342120 199476332 249345415 398952664 498690830 997381660 1994763320