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10164252 = 2237235261
BaseRepresentation
bin100110110001…
…100000011100
3201010101201210
4212301200130
510100224002
61001504420
7152252250
oct46614034
921111653
1010164252
11581260a
1234a2110
13214b567
1414c8260
15d5b96c
hex9b181c

10164252 has 48 divisors (see below), whose sum is σ = 28288512. Its totient is φ = 2777280.

The previous prime is 10164241. The next prime is 10164277. The reversal of 10164252 is 25246101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (589344).

Almost surely, 210164252 is an apocalyptic number.

10164252 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 10164252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14144256).

10164252 is an abundant number, since it is smaller than the sum of its proper divisors (18124260).

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

10164252 is a wasteful number, since it uses less digits than its factorization.

10164252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10164252 is about 3188.1424058533. The cubic root of 10164252 is about 216.6166364432.

The spelling of 10164252 in words is "ten million, one hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 5261 10522 15783 21044 31566 36827 63132 73654 110481 121003 147308 220962 242006 363009 441924 484012 726018 847021 1452036 1694042 2541063 3388084 5082126 10164252