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153088 = 291323
BaseRepresentation
bin100101011000000000
321202222221
4211120000
514344323
63140424
71205215
oct453000
9252887
10153088
11a5021
1274714
13548b0
143db0c
153055d
hex25600

153088 has 40 divisors (see below), whose sum is σ = 343728. Its totient is φ = 67584.

The previous prime is 153077. The next prime is 153089. The reversal of 153088 is 880351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153089) by changing a digit.

153088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6645 + ... + 6667.

2153088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

153088 is an abundant number, since it is smaller than the sum of its proper divisors (190640).

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

153088 is an equidigital number, since it uses as much as digits as its factorization.

153088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 153088 is about 391.2646163404. The cubic root of 153088 is about 53.4950646159.

The spelling of 153088 in words is "one hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 6656 9568 11776 19136 38272 76544 153088