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20150688 = 253792657
BaseRepresentation
bin100110011011…
…1100110100000
31101220202112210
41030313212200
520124310223
61555522120
7333164235
oct114674640
941822483
1020150688
1110413568
1268b9340
134236bac
14296778c
151b80893
hex13379a0

20150688 has 48 divisors (see below), whose sum is σ = 53585280. Its totient is φ = 6629376.

The previous prime is 20150687. The next prime is 20150693. The reversal of 20150688 is 88605102.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20150687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6256 + ... + 8912.

It is an arithmetic number, because the mean of its divisors is an integer number (1116360).

Almost surely, 220150688 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 20150688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26792640).

20150688 is an abundant number, since it is smaller than the sum of its proper divisors (33434592).

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

20150688 is a wasteful number, since it uses less digits than its factorization.

20150688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 20150688 is about 4488.9517707367. The cubic root of 20150688 is about 272.1217736172.

The spelling of 20150688 in words is "twenty million, one hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 2657 3792 5314 7584 7971 10628 15942 21256 31884 42512 63768 85024 127536 209903 255072 419806 629709 839612 1259418 1679224 2518836 3358448 5037672 6716896 10075344 20150688