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1372740100 = 225213727401
BaseRepresentation
bin101000111010010…
…0101101000000100
310112200001102101221
41101310211220010
510302410140400
6344114330124
746006045504
oct12164455004
93480042357
101372740100
1164496aa56
12323889944
1318b525a64
14d0457a04
15807acc1a
hex51d25a04

1372740100 has 18 divisors (see below), whose sum is σ = 2978846234. Its totient is φ = 549096000.

The previous prime is 1372740091. The next prime is 1372740151. The reversal of 1372740100 is 10472731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17322244 + 1355417856 = 4162^2 + 36816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6863601 + ... + 6863800.

Almost surely, 21372740100 is an apocalyptic number.

1372740100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1372740100 is an abundant number, since it is smaller than the sum of its proper divisors (1606106134).

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

1372740100 is a wasteful number, since it uses less digits than its factorization.

1372740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13727415 (or 13727408 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 1372740100 is about 37050.5074189275. The cubic root of 1372740100 is about 1111.3805024210.

It can be divided in two parts, 137 and 2740100, that multiplied together give a triangular number (375393700 = T27400).

The spelling of 1372740100 in words is "one billion, three hundred seventy-two million, seven hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13727401 27454802 54909604 68637005 137274010 274548020 343185025 686370050 1372740100