Search a number
-
+
100531460 = 2255394841
BaseRepresentation
bin1011111110111…
…11110100000100
321000011112020102
411333133310010
5201214001320
613550423232
72330334431
oct577376404
9230145212
10100531460
1151824857
1229801b18
1317a9b693
14d4ccb88
158c5c175
hex5fdfd04

100531460 has 24 divisors (see below), whose sum is σ = 215101656. Its totient is φ = 39453440.

The previous prime is 100531447. The next prime is 100531469. The reversal of 100531460 is 64135001.

It can be written as a sum of positive squares in 4 ways, for example, as 27394756 + 73136704 = 5234^2 + 8552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100531469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46361 + ... + 48480.

It is an arithmetic number, because the mean of its divisors is an integer number (8962569).

Almost surely, 2100531460 is an apocalyptic number.

100531460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100531460 is an abundant number, since it is smaller than the sum of its proper divisors (114570196).

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

100531460 is a wasteful number, since it uses less digits than its factorization.

100531460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94903 (or 94901 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100531460 is about 10026.5377872923. The cubic root of 100531460 is about 464.9797038970.

Adding to 100531460 its reverse (64135001), we get a palindrome (164666461).

The spelling of 100531460 in words is "one hundred million, five hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 94841 189682 379364 474205 948410 1896820 5026573 10053146 20106292 25132865 50265730 100531460