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10253021460 = 22351117389797
BaseRepresentation
bin10011000110010000…
…01011000100010100
3222110112212110022120
421203020023010110
5131444233141320
64413221455540
7512036146563
oct114310130424
928415773276
1010253021460
114391621860
121ba18715b0
13c7524a206
146d39c7bda
154001dc440
hex26320b114

10253021460 has 96 divisors (see below), whose sum is σ = 31499701632. Its totient is φ = 2471185920.

The previous prime is 10253021417. The next prime is 10253021461. The reversal of 10253021460 is 6412035201.

It is a self number, because there is not a number n which added to its sum of digits gives 10253021460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253021461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69282 + ... + 159078.

It is an arithmetic number, because the mean of its divisors is an integer number (328121892).

Almost surely, 210253021460 is an apocalyptic number.

10253021460 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 10253021460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749850816).

10253021460 is an abundant number, since it is smaller than the sum of its proper divisors (21246680172).

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

10253021460 is a wasteful number, since it uses less digits than its factorization.

10253021460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89993 (or 89991 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10253021460 its reverse (6412035201), we get a palindrome (16665056661).

The spelling of 10253021460 in words is "ten billion, two hundred fifty-three million, twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 9515 10380 11418 19030 22836 28545 38060 57090 89797 114180 179594 269391 359188 448985 538782 897970 987767 1077564 1346955 1795940 1975534 2693910 2963301 3951068 4938835 5387820 5926602 9877670 11853204 14816505 15534881 19755340 29633010 31069762 46604643 59266020 62139524 77674405 93209286 155348810 170883691 186418572 233023215 310697620 341767382 466046430 512651073 683534764 854418455 932092860 1025302146 1708836910 2050604292 2563255365 3417673820 5126510730 10253021460