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132472100 = 22521324721
BaseRepresentation
bin1111110010101…
…01110100100100
3100020021021120002
413321111310210
5232403101400
621051200432
73165665015
oct771256444
9306237502
10132472100
1168860282
1238446118
13215a2a77
141384500c
15b96aed5
hex7e55d24

132472100 has 18 divisors (see below), whose sum is σ = 287464674. Its totient is φ = 52988800.

The previous prime is 132472073. The next prime is 132472103. The reversal of 132472100 is 1274231.

It can be written as a sum of positive squares in 3 ways, for example, as 28472896 + 103999204 = 5336^2 + 10198^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132472103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 662261 + ... + 662460.

Almost surely, 2132472100 is an apocalyptic number.

132472100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132472100 is an abundant number, since it is smaller than the sum of its proper divisors (154992574).

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

132472100 is a wasteful number, since it uses less digits than its factorization.

132472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324735 (or 1324728 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 132472100 is about 11509.6524708611. The cubic root of 132472100 is about 509.7706260606.

The spelling of 132472100 in words is "one hundred thirty-two million, four hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1324721 2649442 5298884 6623605 13247210 26494420 33118025 66236050 132472100