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132000400 = 2452747143
BaseRepresentation
bin1111101111000…
…10101010010000
3100012101022111201
413313202222100
5232243003100
621033120544
73161661550
oct767425220
9305338451
10132000400
1168568944
1238259154
132146915c
1413761160
15b8c636a
hex7de2a90

132000400 has 60 divisors (see below), whose sum is σ = 362443072. Its totient is φ = 45256320.

The previous prime is 132000367. The next prime is 132000433. The reversal of 132000400 is 4000231.

It is an interprime number because it is at equal distance from previous prime (132000367) and next prime (132000433).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 20772 + ... + 26371.

Almost surely, 2132000400 is an apocalyptic number.

132000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000400 is an abundant number, since it is smaller than the sum of its proper divisors (230442672).

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

132000400 is a wasteful number, since it uses less digits than its factorization.

132000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47168 (or 47157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 132000400 is about 11489.1427008285. The cubic root of 132000400 is about 509.1648512728.

Adding to 132000400 its reverse (4000231), we get a palindrome (136000631).

The spelling of 132000400 in words is "one hundred thirty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 47143 94286 188572 235715 330001 377144 471430 660002 754288 942860 1178575 1320004 1650005 1885720 2357150 2640008 3300010 3771440 4714300 5280016 6600020 8250025 9428600 13200040 16500050 18857200 26400080 33000100 66000200 132000400