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153362053 = 13193120029
BaseRepresentation
bin10010010010000…
…01111010000101
3101200120121012001
421021001322011
5303230041203
623115025301
73541361455
oct1111017205
9350517161
10153362053
11796291a9
124343b231
1325a082a0
1416521d65
15d6e591d
hex9241e85

153362053 has 16 divisors (see below), whose sum is σ = 179468800. Its totient is φ = 129781440.

The previous prime is 153362051. The next prime is 153362071. The reversal of 153362053 is 350263351.

It is a cyclic number.

It is not a de Polignac number, because 153362053 - 21 = 153362051 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153362051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358 + ... + 17671.

It is an arithmetic number, because the mean of its divisors is an integer number (11216800).

Almost surely, 2153362053 is an apocalyptic number.

153362053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

153362053 is a deficient number, since it is larger than the sum of its proper divisors (26106747).

153362053 is a wasteful number, since it uses less digits than its factorization.

153362053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092.

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 153362053 is about 12383.9433541986. The cubic root of 153362053 is about 535.2696727625.

The spelling of 153362053 in words is "one hundred fifty-three million, three hundred sixty-two thousand, fifty-three".

Divisors: 1 13 19 31 247 403 589 7657 20029 260377 380551 620899 4947163 8071687 11797081 153362053