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152120628 = 223211384143
BaseRepresentation
bin10010001000100…
…10110100110100
3101121020112021100
421010102310310
5302420330003
623032250100
73525001242
oct1104226464
9347215240
10152120628
1178960530
1242b40930
132569220a
14162bb792
15d54cba3
hex9112d34

152120628 has 36 divisors (see below), whose sum is σ = 419485248. Its totient is φ = 46097040.

The previous prime is 152120621. The next prime is 152120629. The reversal of 152120628 is 826021251.

It is a happy number.

152120628 is a `hidden beast` number, since 15 + 2 + 1 + 20 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1521206282 = 46281370926228768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152120621) 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 11 ways as a sum of consecutive naturals, for example, 191676 + ... + 192467.

It is an arithmetic number, because the mean of its divisors is an integer number (11652368).

Almost surely, 2152120628 is an apocalyptic number.

152120628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152120628 is an abundant number, since it is smaller than the sum of its proper divisors (267364620).

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

152120628 is a wasteful number, since it uses less digits than its factorization.

152120628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384164 (or 384159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 152120628 is about 12333.7191471186. The cubic root of 152120628 is about 533.8214695874.

Adding to 152120628 its reverse (826021251), we get a palindrome (978141879).

The spelling of 152120628 in words is "one hundred fifty-two million, one hundred twenty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 384143 768286 1152429 1536572 2304858 3457287 4225573 4609716 6914574 8451146 12676719 13829148 16902292 25353438 38030157 50706876 76060314 152120628