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10764264 = 2337173769
BaseRepresentation
bin101001000011…
…111111101000
3202020212210110
4221003333220
510223424024
61022414320
7160331460
oct51037750
922225713
1010764264
116092395
1237313a0
1322cb6b4
141602ba0
15e29629
hexa43fe8

10764264 has 64 divisors (see below), whose sum is σ = 32572800. Its totient is φ = 2893824.

The previous prime is 10764211. The next prime is 10764293. The reversal of 10764264 is 46246701.

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, 972 + ... + 4740.

It is an arithmetic number, because the mean of its divisors is an integer number (508950).

Almost surely, 210764264 is an apocalyptic number.

10764264 is a gapful number since it is divisible by the number (14) 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 10764264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286400).

10764264 is an abundant number, since it is smaller than the sum of its proper divisors (21808536).

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

10764264 is a wasteful number, since it uses less digits than its factorization.

10764264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 10764264 is about 3280.8937806640. The cubic root of 10764264 is about 220.7978195017.

The spelling of 10764264 in words is "ten million, seven hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 3769 7538 11307 15076 22614 26383 30152 45228 52766 64073 79149 90456 105532 128146 158298 192219 211064 256292 316596 384438 448511 512584 633192 768876 897022 1345533 1537752 1794044 2691066 3588088 5382132 10764264