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10664424 = 2332732029
BaseRepresentation
bin101000101011…
…100111101000
3202001210211200
4220223213220
510212230144
61020324200
7156434421
oct50534750
922053750
1010664424
116024381
1236a3660
132295114
1415b8648
15e09c69
hexa2b9e8

10664424 has 48 divisors (see below), whose sum is σ = 29292900. Its totient is φ = 3504384.

The previous prime is 10664371. The next prime is 10664449. The reversal of 10664424 is 42446601.

10664424 is a `hidden beast` number, since 10 + 6 + 644 + 2 + 4 = 666.

10664424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9180900 + 1483524 = 3030^2 + 1218^2 .

It is a super-2 number, since 2×106644242 = 227459878503552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4242 + ... + 6270.

Almost surely, 210664424 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 10664424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646450).

10664424 is an abundant number, since it is smaller than the sum of its proper divisors (18628476).

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

10664424 is a wasteful number, since it uses less digits than its factorization.

10664424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 10664424 is about 3265.6429688501. The cubic root of 10664424 is about 220.1130548404.

The spelling of 10664424 in words is "ten million, six hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2029 2628 4058 5256 6087 8116 12174 16232 18261 24348 36522 48696 73044 146088 148117 296234 444351 592468 888702 1184936 1333053 1777404 2666106 3554808 5332212 10664424