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133052900 = 22521330529
BaseRepresentation
bin1111110111000…
…11100111100100
3100021100210021012
413323203213210
5233030143100
621111441352
73203634221
oct773434744
9307323235
10133052900
1169117682
1238686258
1321747236
1413956948
15ba33135
hex7ee39e4

133052900 has 18 divisors (see below), whose sum is σ = 288725010. Its totient is φ = 53221120.

The previous prime is 133052869. The next prime is 133052903. The reversal of 133052900 is 9250331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2910436 + 130142464 = 1706^2 + 11408^2 .

It is not an unprimeable number, because it can be changed into a prime (133052903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665165 + ... + 665364.

Almost surely, 2133052900 is an apocalyptic number.

133052900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133052900 is an abundant number, since it is smaller than the sum of its proper divisors (155672110).

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

133052900 is a wasteful number, since it uses less digits than its factorization.

133052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330543 (or 1330536 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 133052900 is about 11534.8558725283. The cubic root of 133052900 is about 510.5145390179.

The spelling of 133052900 in words is "one hundred thirty-three million, fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1330529 2661058 5322116 6652645 13305290 26610580 33263225 66526450 133052900