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132428600 = 2352662143
BaseRepresentation
bin1111110010010…
…11001100111000
3100020012001212222
413321023030320
5232400203400
621050223212
73165424133
oct771131470
9306161788
10132428600
1168830627
1238424b08
1321589025
141383321a
15b95d185
hex7e4b338

132428600 has 24 divisors (see below), whose sum is σ = 307896960. Its totient is φ = 52971360.

The previous prime is 132428567. The next prime is 132428603. The reversal of 132428600 is 6824231.

It is a super-3 number, since 3×1324286003 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132428600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132428603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330872 + ... + 331271.

It is an arithmetic number, because the mean of its divisors is an integer number (12829040).

Almost surely, 2132428600 is an apocalyptic number.

132428600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132428600 is an abundant number, since it is smaller than the sum of its proper divisors (175468360).

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

132428600 is a wasteful number, since it uses less digits than its factorization.

132428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662159 (or 662150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 132428600 is about 11507.7625974818. The cubic root of 132428600 is about 509.7148219834.

The spelling of 132428600 in words is "one hundred thirty-two million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 662143 1324286 2648572 3310715 5297144 6621430 13242860 16553575 26485720 33107150 66214300 132428600