Search a number
-
+
10164552 = 2335361131
BaseRepresentation
bin100110110001…
…100101001000
3201010102010220
4212301211020
510100231202
61001510040
7152253156
oct46614510
921112126
1010164552
115812862
1234a2320
13214b738
1414c83d6
15d5babc
hex9b1948

10164552 has 64 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 3244800.

The previous prime is 10164541. The next prime is 10164571. The reversal of 10164552 is 25546101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 77527 + ... + 77657.

It is an arithmetic number, because the mean of its divisors is an integer number (414315).

Almost surely, 210164552 is an apocalyptic number.

10164552 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 10164552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

10164552 is an abundant number, since it is smaller than the sum of its proper divisors (16351608).

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

10164552 is a wasteful number, since it uses less digits than its factorization.

10164552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10164552 is about 3188.1894548474. The cubic root of 10164552 is about 216.6187675839.

The spelling of 10164552 in words is "ten million, one hundred sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 61 106 122 131 159 183 212 244 262 318 366 393 424 488 524 636 732 786 1048 1272 1464 1572 3144 3233 6466 6943 7991 9699 12932 13886 15982 19398 20829 23973 25864 27772 31964 38796 41658 47946 55544 63928 77592 83316 95892 166632 191784 423523 847046 1270569 1694092 2541138 3388184 5082276 10164552