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132525400 = 23527213523
BaseRepresentation
bin1111110011000…
…10110101011000
3100020100222200011
413321202311120
5232411303100
621052251304
73166306300
oct771426530
9306328604
10132525400
1168897327
1238470b34
13215c10c7
141385a600
15b97bbba
hex7e62d58

132525400 has 72 divisors (see below), whose sum is σ = 358453620. Its totient is φ = 45433920.

The previous prime is 132525373. The next prime is 132525451. The reversal of 132525400 is 4525231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3039 + ... + 16561.

Almost surely, 2132525400 is an apocalyptic number.

132525400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179226810).

132525400 is an abundant number, since it is smaller than the sum of its proper divisors (225928220).

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

132525400 is a wasteful number, since it uses less digits than its factorization.

132525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553 (or 13537 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 132525400 is about 11511.9676858476. The cubic root of 132525400 is about 509.8389854388.

The spelling of 132525400 in words is "one hundred thirty-two million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 13523 27046 54092 67615 94661 108184 135230 189322 270460 338075 378644 473305 540920 662627 676150 757288 946610 1325254 1352300 1893220 2366525 2650508 2704600 3313135 3786440 4733050 5301016 6626270 9466100 13252540 16565675 18932200 26505080 33131350 66262700 132525400