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10172052 = 223211171511
BaseRepresentation
bin100110110011…
…011010010100
3201010210102200
4212303122110
510101001202
61002004500
7152314062
oct46633224
921123380
1010172052
115818460
1234a6730
132151c87
1414cb032
15d5de1c
hex9b3694

10172052 has 72 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2899200.

The previous prime is 10172021. The next prime is 10172053. The reversal of 10172052 is 25027101.

10172052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5977 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 210172052 is an apocalyptic number.

10172052 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 10172052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

10172052 is an abundant number, since it is smaller than the sum of its proper divisors (19547820).

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

10172052 is a wasteful number, since it uses less digits than its factorization.

10172052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10172052 is about 3189.3654541303. The cubic root of 10172052 is about 216.6720324772.

Adding to 10172052 its reverse (25027101), we get a palindrome (35199153).

The spelling of 10172052 in words is "ten million, one hundred seventy-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1511 1683 2244 3022 3366 4533 6044 6732 9066 13599 16621 18132 25687 27198 33242 49863 51374 54396 66484 77061 99726 102748 149589 154122 199452 231183 282557 299178 308244 462366 565114 598356 847671 924732 1130228 1695342 2543013 3390684 5086026 10172052