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98088960 = 2113531103
BaseRepresentation
bin1011101100010…
…11100000000000
320211120102202110
411312023200000
5200102321320
613422215320
72300512434
oct566134000
9224512673
1098088960
1150406762
1228a24540
1317424a08
14d0549c4
1589285e0
hex5d8b800

98088960 has 192 divisors, whose sum is σ = 327075840. Its totient is φ = 25067520.

The previous prime is 98088959. The next prime is 98088971. The reversal of 98088960 is 6988089.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952269 + ... + 952371.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 298088960 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 98088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

98088960 is an abundant number, since it is smaller than the sum of its proper divisors (228986880).

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

98088960 is a wasteful number, since it uses less digits than its factorization.

98088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 98088960 is about 9903.9870759205. The cubic root of 98088960 is about 461.1830919172.

The spelling of 98088960 in words is "ninety-eight million, eighty-eight thousand, nine hundred sixty".