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151088 = 2471971
BaseRepresentation
bin100100111000110000
321200020212
4210320300
514313323
63123252
71166330
oct447060
9250225
10151088
11a3573
1273528
1353a02
143d0c0
152eb78
hex24e30

151088 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 60480.

The previous prime is 151057. The next prime is 151091. The reversal of 151088 is 880151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2093 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2151088 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 151088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

151088 is an abundant number, since it is smaller than the sum of its proper divisors (206032).

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

151088 is a wasteful number, since it uses less digits than its factorization.

151088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 151088 is about 388.7003987649. The cubic root of 151088 is about 53.2610827219.

The spelling of 151088 in words is "one hundred fifty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 71 76 112 133 142 152 266 284 304 497 532 568 994 1064 1136 1349 1988 2128 2698 3976 5396 7952 9443 10792 18886 21584 37772 75544 151088