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132969600 = 27375219
BaseRepresentation
bin1111110110011…
…11010010000000
3100021012120000000
413323033102000
5233020011400
621110000000
73203136321
oct773172200
9307176000
10132969600
1169070035
1238646000
132171834a
1413934448
15ba18600
hex7ecf480

132969600 has 384 divisors, whose sum is σ = 518568000. Its totient is φ = 33592320.

The previous prime is 132969593. The next prime is 132969643. The reversal of 132969600 is 6969231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998391 + ... + 6998409.

Almost surely, 2132969600 is an apocalyptic number.

132969600 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 132969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259284000).

132969600 is an abundant number, since it is smaller than the sum of its proper divisors (385598400).

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

132969600 is an frugal number, since it uses more digits than its factorization.

132969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 132969600 is about 11531.2445121938. The cubic root of 132969600 is about 510.4079780464.

The spelling of 132969600 in words is "one hundred thirty-two million, nine hundred sixty-nine thousand, six hundred".