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380132100 = 223252422369
BaseRepresentation
bin10110101010000…
…101101100000100
3222111021201012200
4112222011230010
51234303211400
6101415314500
712264032565
oct2652055404
9874251180
10380132100
11185635967
12a737ba30
13609a634a
14386b216c
152358bb00
hex16a85b04

380132100 has 54 divisors (see below), whose sum is σ = 1191505770. Its totient is φ = 101368320.

The previous prime is 380132089. The next prime is 380132101. The reversal of 380132100 is 1231083.

It can be written as a sum of positive squares in 3 ways, for example, as 77580864 + 302551236 = 8808^2 + 17394^2 .

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

It is not an unprimeable number, because it can be changed into a prime (380132101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 210285 + ... + 212084.

Almost surely, 2380132100 is an apocalyptic number.

380132100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380132100 is an abundant number, since it is smaller than the sum of its proper divisors (811373670).

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

380132100 is a wasteful number, since it uses less digits than its factorization.

380132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422389 (or 422379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 380132100 is about 19496.9766887074. The cubic root of 380132100 is about 724.3995662840.

Adding to 380132100 its reverse (1231083), we get a palindrome (381363183).

The spelling of 380132100 in words is "three hundred eighty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 422369 844738 1267107 1689476 2111845 2534214 3801321 4223690 5068428 6335535 7602642 8447380 10559225 12671070 15205284 19006605 21118450 25342140 31677675 38013210 42236900 63355350 76026420 95033025 126710700 190066050 380132100