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10025964 = 22331337193
BaseRepresentation
bin100110001111…
…101111101100
3200212101001000
4212033233230
510031312324
6554520300
7151135134
oct46175754
920771030
1010025964
115728723
123436090
132100630
14148dac4
15d309c9
hex98fbec

10025964 has 96 divisors (see below), whose sum is σ = 28898240. Its totient is φ = 2985984.

The previous prime is 10025933. The next prime is 10026011. The reversal of 10025964 is 46952001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51852 + ... + 52044.

Almost surely, 210025964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449120).

10025964 is an abundant number, since it is smaller than the sum of its proper divisors (18872276).

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

10025964 is a wasteful number, since it uses less digits than its factorization.

10025964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10025964 is about 3166.3802677505. The cubic root of 10025964 is about 215.6297670024.

Adding to 10025964 its reverse (46952001), we get a palindrome (56977965).

Subtracting 10025964 from its reverse (46952001), we obtain a cube (36926037 = 3333).

The spelling of 10025964 in words is "ten million, twenty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 193 222 234 333 351 386 444 468 481 579 666 702 772 962 999 1158 1332 1404 1443 1737 1924 1998 2316 2509 2886 3474 3996 4329 5018 5211 5772 6948 7141 7527 8658 10036 10422 12987 14282 15054 17316 20844 21423 22581 25974 28564 30108 42846 45162 51948 64269 67743 85692 90324 92833 128538 135486 185666 192807 257076 270972 278499 371332 385614 556998 771228 835497 1113996 1670994 2506491 3341988 5012982 10025964