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132124400 = 2452330311
BaseRepresentation
bin1111110000000…
…00111011110000
3100012121121121022
413320000323300
5232310440100
621035515012
73163016222
oct770007360
9305547538
10132124400
1168643021
12382b8a68
13214b0725
1413794412
15b8ece85
hex7e00ef0

132124400 has 30 divisors (see below), whose sum is σ = 317429832. Its totient is φ = 52849600.

The previous prime is 132124393. The next prime is 132124403. The reversal of 132124400 is 4421231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164756 + ... + 165555.

Almost surely, 2132124400 is an apocalyptic number.

132124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132124400 is an abundant number, since it is smaller than the sum of its proper divisors (185305432).

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

132124400 is a wasteful number, since it uses less digits than its factorization.

132124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330329 (or 330318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 132124400 is about 11494.5378332493. The cubic root of 132124400 is about 509.3242363503.

Adding to 132124400 its reverse (4421231), we get a palindrome (136545631).

The spelling of 132124400 in words is "one hundred thirty-two million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 330311 660622 1321244 1651555 2642488 3303110 5284976 6606220 8257775 13212440 16515550 26424880 33031100 66062200 132124400