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10464512 = 2841997
BaseRepresentation
bin100111111010…
…110100000000
3201200122121112
4213322310000
510134331022
61012142452
7154642532
oct47726400
921618545
1010464512
1159a8163
123607a28
132225126
141565852
15dba8e2
hex9fad00

10464512 has 36 divisors (see below), whose sum is σ = 21419076. Its totient is φ = 5099520.

The previous prime is 10464499. The next prime is 10464527. The reversal of 10464512 is 21546401.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 6071296 = 2096^2 + 2464^2 .

It is a super-2 number, since 2×104645122 = 219012022796288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9998 + ... + 10994.

Almost surely, 210464512 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 10464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709538).

10464512 is an abundant number, since it is smaller than the sum of its proper divisors (10954564).

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

10464512 is an frugal number, since it uses more digits than its factorization.

10464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 10464512 is about 3234.8897971956. The cubic root of 10464512 is about 218.7289795312.

It can be divided in two parts, 1046451 and 2, that multiplied together give a palindrome (2092902).

The spelling of 10464512 in words is "ten million, four hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 997 1312 1994 2624 3988 5248 7976 10496 15952 31904 40877 63808 81754 127616 163508 255232 327016 654032 1308064 2616128 5232256 10464512