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10664052 = 2237791607
BaseRepresentation
bin101000101011…
…100001110100
3202001210022220
4220223201310
510212222202
61020322340
7156433350
oct50534164
922053286
1010664052
116024073
1236a33b0
132294bb9
1415b8460
15e09abc
hexa2b874

10664052 has 48 divisors (see below), whose sum is σ = 28815360. Its totient is φ = 3006432.

The previous prime is 10664051. The next prime is 10664053. The reversal of 10664052 is 25046601.

It is an interprime number because it is at equal distance from previous prime (10664051) and next prime (10664053).

It is a super-2 number, since 2×106640522 = 227444010117408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5833 + ... + 7439.

It is an arithmetic number, because the mean of its divisors is an integer number (600320).

Almost surely, 210664052 is an apocalyptic number.

10664052 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 10664052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407680).

10664052 is an abundant number, since it is smaller than the sum of its proper divisors (18151308).

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

10664052 is a wasteful number, since it uses less digits than its factorization.

10664052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1698 counting only the distinct ones).

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

The square root of 10664052 is about 3265.5860117290. The cubic root of 10664052 is about 220.1104954583.

The spelling of 10664052 in words is "ten million, six hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1607 1659 2212 3214 3318 4821 6428 6636 9642 11249 19284 22498 33747 44996 67494 126953 134988 253906 380859 507812 761718 888671 1523436 1777342 2666013 3554684 5332026 10664052