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132141400 = 23522922783
BaseRepresentation
bin1111110000001…
…01000101011000
3100012122110220221
413320011011120
5232312011100
621040125424
73163116616
oct770050530
9305573827
10132141400
1168654876
1238306874
13214b83a1
141379a6b6
15b90301a
hex7e05158

132141400 has 48 divisors (see below), whose sum is σ = 317836800. Its totient is φ = 51031680.

The previous prime is 132141397. The next prime is 132141413. The reversal of 132141400 is 4141231.

It is a super-2 number, since 2×1321414002 = 34922699187920000, which contains 22 as substring.

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, 5592 + ... + 17191.

It is an arithmetic number, because the mean of its divisors is an integer number (6621600).

Almost surely, 2132141400 is an apocalyptic number.

132141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132141400 is an abundant number, since it is smaller than the sum of its proper divisors (185695400).

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

132141400 is a wasteful number, since it uses less digits than its factorization.

132141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22828 (or 22819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132141400 is about 11495.2772911313. The cubic root of 132141400 is about 509.3460797562.

Adding to 132141400 its reverse (4141231), we get a palindrome (136282631).

The spelling of 132141400 in words is "one hundred thirty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 22783 45566 91132 113915 182264 227830 455660 569575 660707 911320 1139150 1321414 2278300 2642828 3303535 4556600 5285656 6607070 13214140 16517675 26428280 33035350 66070700 132141400