Search a number
-
+
166536104 = 2373137443
BaseRepresentation
bin10011110110100…
…10001110101000
3102121100220120212
421323102032220
5320113123404
624305240252
74061351000
oct1173221650
9377326525
10166536104
1186007049
1247933088
132866b797
1418191000
15e94906e
hex9ed23a8

166536104 has 64 divisors (see below), whose sum is σ = 367632000. Its totient is φ = 70691712.

The previous prime is 166536103. The next prime is 166536113. The reversal of 166536104 is 401635661.

166536104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166536103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375707 + ... + 376149.

It is an arithmetic number, because the mean of its divisors is an integer number (5744250).

Almost surely, 2166536104 is an apocalyptic number.

166536104 is a gapful number since it is divisible by the number (14) 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 166536104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183816000).

166536104 is an abundant number, since it is smaller than the sum of its proper divisors (201095896).

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

166536104 is a wasteful number, since it uses less digits than its factorization.

166536104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 166536104 is about 12904.8868263151. The cubic root of 166536104 is about 550.1774677994.

The spelling of 166536104 in words is "one hundred sixty-six million, five hundred thirty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 343 392 443 548 686 886 959 1096 1372 1772 1918 2744 3101 3544 3836 6202 6713 7672 12404 13426 21707 24808 26852 43414 46991 53704 60691 86828 93982 121382 151949 173656 187964 242764 303898 375928 424837 485528 607796 849674 1215592 1699348 2973859 3398696 5947718 11895436 20817013 23790872 41634026 83268052 166536104