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132628200 = 23352221047
BaseRepresentation
bin1111110011110…
…11111011101000
3100020120012200120
413321323323220
5232423100300
621054403240
73200215065
oct771737350
9306505616
10132628200
1168957591
1238500520
1321628b33
1413885c6c
15b99c3a0
hex7e7bee8

132628200 has 48 divisors (see below), whose sum is σ = 411149280. Its totient is φ = 35367360.

The previous prime is 132628163. The next prime is 132628229. The reversal of 132628200 is 2826231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109924 + ... + 111123.

It is an arithmetic number, because the mean of its divisors is an integer number (8565610).

Almost surely, 2132628200 is an apocalyptic number.

132628200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132628200 is an abundant number, since it is smaller than the sum of its proper divisors (278521080).

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

132628200 is a wasteful number, since it uses less digits than its factorization.

132628200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221066 (or 221057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132628200 is about 11516.4317390414. The cubic root of 132628200 is about 509.9707787948.

The spelling of 132628200 in words is "one hundred thirty-two million, six hundred twenty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 221047 442094 663141 884188 1105235 1326282 1768376 2210470 2652564 3315705 4420940 5305128 5526175 6631410 8841880 11052350 13262820 16578525 22104700 26525640 33157050 44209400 66314100 132628200