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88230960 = 24325315967
BaseRepresentation
bin1010100001001…
…00110000110000
320011000121010100
411100210300300
5140041342320
612431032400
72120644056
oct520446060
9204017110
1088230960
1145893254
122566b700
131538298c
14ba0a1d6
157b2c790
hex5424c30

88230960 has 240 divisors, whose sum is σ = 315694080. Its totient is φ = 22049280.

The previous prime is 88230959. The next prime is 88230971. The reversal of 88230960 is 6903288.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316847 + ... + 1316913.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 288230960 is an apocalyptic number.

88230960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

88230960 is an abundant number, since it is smaller than the sum of its proper divisors (227463120).

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

88230960 is a wasteful number, since it uses less digits than its factorization.

88230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 88230960 is about 9393.1336624153. The cubic root of 88230960 is about 445.1848073029.

The spelling of 88230960 in words is "eighty-eight million, two hundred thirty thousand, nine hundred sixty".