Search a number
-
+
106932392 = 2373121987
BaseRepresentation
bin1100101111110…
…10100010101000
321110012201122222
412113322202220
5204333314032
614335533212
72435624150
oct627724250
9243181588
10106932392
11553a6986
122b98a208
1319200008
14102b7760
1595c3a12
hex65fa8a8

106932392 has 48 divisors (see below), whose sum is σ = 236890080. Its totient is φ = 44327520.

The previous prime is 106932377. The next prime is 106932421. The reversal of 106932392 is 293239601.

It is a super-2 number, since 2×1069323922 = 22869072917683328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52823 + ... + 54809.

It is an arithmetic number, because the mean of its divisors is an integer number (4935210).

Almost surely, 2106932392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106932392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118445040).

106932392 is an abundant number, since it is smaller than the sum of its proper divisors (129957688).

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

106932392 is a wasteful number, since it uses less digits than its factorization.

106932392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 106932392 is about 10340.8119603830. The cubic root of 106932392 is about 474.6459293042.

The spelling of 106932392 in words is "one hundred six million, nine hundred thirty-two thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 961 1736 1922 1987 3844 3974 6727 7688 7948 13454 13909 15896 26908 27818 53816 55636 61597 111272 123194 246388 431179 492776 862358 1724716 1909507 3449432 3819014 7638028 13366549 15276056 26733098 53466196 106932392