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132127400 = 23521738861
BaseRepresentation
bin1111110000000…
…01101010101000
3100012121202201102
413320001222220
5232311034100
621035540532
73163031036
oct770015250
9305552642
10132127400
11686452a9
12382ba748
13214b1bc2
1413795556
15b8edcd5
hex7e01aa8

132127400 has 48 divisors (see below), whose sum is σ = 325274940. Its totient is φ = 49740800.

The previous prime is 132127399. The next prime is 132127427. The reversal of 132127400 is 4721231.

132127400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 94206436 + 37920964 = 9706^2 + 6158^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16031 + ... + 22830.

Almost surely, 2132127400 is an apocalyptic number.

132127400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132127400 is an abundant number, since it is smaller than the sum of its proper divisors (193147540).

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

132127400 is a wasteful number, since it uses less digits than its factorization.

132127400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38894 (or 38885 counting only the distinct ones).

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

The square root of 132127400 is about 11494.6683292734. The cubic root of 132127400 is about 509.3280912051.

Adding to 132127400 its reverse (4721231), we get a palindrome (136848631).

The spelling of 132127400 in words is "one hundred thirty-two million, one hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 38861 77722 155444 194305 310888 388610 660637 777220 971525 1321274 1554440 1943050 2642548 3303185 3886100 5285096 6606370 7772200 13212740 16515925 26425480 33031850 66063700 132127400