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1025214080 = 275111071361
BaseRepresentation
bin111101000110111…
…000011010000000
32122110010021022212
4331012320122000
54044423322310
6245421521252
734256114222
oct7506703200
92573107285
101025214080
11486785570
12247413228
13134527967
149a232412
1560012205
hex3d1b8680

1025214080 has 128 divisors (see below), whose sum is σ = 2700682560. Its totient is φ = 369049600.

The previous prime is 1025214059. The next prime is 1025214109. The reversal of 1025214080 is 804125201.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752600 + ... + 753960.

Almost surely, 21025214080 is an apocalyptic number.

1025214080 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 1025214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350341280).

1025214080 is an abundant number, since it is smaller than the sum of its proper divisors (1675468480).

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

1025214080 is a wasteful number, since it uses less digits than its factorization.

1025214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1025214080 is about 32018.9643805043. The cubic root of 1025214080 is about 1008.3350276288.

Adding to 1025214080 its reverse (804125201), we get a palindrome (1829339281).

It can be divided in two parts, 102521 and 4080, that added together give a palindrome (106601).

The spelling of 1025214080 in words is "one billion, twenty-five million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 128 160 176 214 220 320 352 428 440 535 640 704 856 880 1070 1177 1361 1408 1712 1760 2140 2354 2722 3424 3520 4280 4708 5444 5885 6805 6848 7040 8560 9416 10888 11770 13610 13696 14971 17120 18832 21776 23540 27220 29942 34240 37664 43552 47080 54440 59884 68480 74855 75328 87104 94160 108880 119768 145627 149710 150656 174208 188320 217760 239536 291254 299420 376640 435520 479072 582508 598840 728135 753280 871040 958144 1165016 1197680 1456270 1601897 1916288 2330032 2395360 2912540 3203794 4660064 4790720 5825080 6407588 8009485 9320128 9581440 11650160 12815176 16018970 18640256 23300320 25630352 32037940 46600640 51260704 64075880 93201280 102521408 128151760 205042816 256303520 512607040 1025214080