Search a number
-
+
100327164 = 22374129131
BaseRepresentation
bin1011111101011…
…01111011111100
320222210010222220
411332231323330
5201140432124
613542205340
72325524010
oct576557374
9228703886
10100327164
11516a5313
1229723850
1317a296b2
14d478540
158c1b879
hex5fadefc

100327164 has 48 divisors (see below), whose sum is σ = 274073856. Its totient is φ = 27964800.

The previous prime is 100327151. The next prime is 100327177. The reversal of 100327164 is 461723001.

It is an interprime number because it is at equal distance from previous prime (100327151) and next prime (100327177).

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, 11122 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (5709872).

Almost surely, 2100327164 is an apocalyptic number.

100327164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100327164 is an abundant number, since it is smaller than the sum of its proper divisors (173746692).

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

100327164 is a wasteful number, since it uses less digits than its factorization.

100327164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29186 (or 29184 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 100327164 is about 10016.3448423065. The cubic root of 100327164 is about 464.6645192650.

The spelling of 100327164 in words is "one hundred million, three hundred twenty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 29131 58262 87393 116524 174786 203917 349572 407834 611751 815668 1194371 1223502 2388742 2447004 3583113 4777484 7166226 8360597 14332452 16721194 25081791 33442388 50163582 100327164