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153382300 = 22525925997
BaseRepresentation
bin10010010010001…
…10110110011100
3101200121121221221
421021012312130
5303231213200
623115303124
73541504501
oct1111066634
9350547857
10153382300
1179642435
124344aaa4
1325a14576
14165294a8
15d6eb91a
hex9246d9c

153382300 has 36 divisors (see below), whose sum is σ = 338493960. Its totient is φ = 60310720.

The previous prime is 153382289. The next prime is 153382301. The reversal of 153382300 is 3283351.

It is a super-2 number, since 2×1533823002 = 47052259906580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153382301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7099 + ... + 18898.

It is an arithmetic number, because the mean of its divisors is an integer number (9402610).

Almost surely, 2153382300 is an apocalyptic number.

153382300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153382300 is an abundant number, since it is smaller than the sum of its proper divisors (185111660).

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

153382300 is a wasteful number, since it uses less digits than its factorization.

153382300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26070 (or 26063 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 153382300 is about 12384.7607970441. The cubic root of 153382300 is about 535.2932273250.

The spelling of 153382300 in words is "one hundred fifty-three million, three hundred eighty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 25997 51994 103988 129985 259970 519940 649925 1299850 1533823 2599700 3067646 6135292 7669115 15338230 30676460 38345575 76691150 153382300