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10064652 = 22313149433
BaseRepresentation
bin100110011001…
…001100001100
3200221100002220
4212121030030
510034032102
6555415340
7151356003
oct46311414
920840086
1010064652
1157547a4
123454550
132115120
14149dc3a
15d3c1bc
hex99930c

10064652 has 48 divisors (see below), whose sum is σ = 25519200. Its totient is φ = 3068928.

The previous prime is 10064651. The next prime is 10064657. The reversal of 10064652 is 25646001.

It is a super-2 number, since 2×100646522 = 202594439762208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10064651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23028 + ... + 23460.

It is an arithmetic number, because the mean of its divisors is an integer number (531650).

Almost surely, 210064652 is an apocalyptic number.

10064652 is a gapful number since it is divisible by the number (12) 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 10064652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759600).

10064652 is an abundant number, since it is smaller than the sum of its proper divisors (15454548).

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

10064652 is a wasteful number, since it uses less digits than its factorization.

10064652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

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

The square root of 10064652 is about 3172.4835696974. The cubic root of 10064652 is about 215.9067670335.

The spelling of 10064652 in words is "ten million, sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 433 447 596 866 894 1299 1732 1788 1937 2598 3874 5196 5629 5811 7748 11258 11622 16887 22516 23244 33774 64517 67548 129034 193551 258068 387102 774204 838721 1677442 2516163 3354884 5032326 10064652