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99618960 = 24357243197
BaseRepresentation
bin1011111000000…
…01000010010000
320221110011112010
411330001002100
5201000301320
613515102520
72316514200
oct574010220
9227404463
1099618960
1151261221
1229441a40
131783c23c
14d332400
158b2bae0
hex5f01090

99618960 has 240 divisors, whose sum is σ = 369458496. Its totient is φ = 22127616.

The previous prime is 99618949. The next prime is 99618979. The reversal of 99618960 is 6981699.

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 (48).

It is a congruent number.

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, 505582 + ... + 505778.

Almost surely, 299618960 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 99618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184729248).

99618960 is an abundant number, since it is smaller than the sum of its proper divisors (269839536).

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

99618960 is a wasteful number, since it uses less digits than its factorization.

99618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 99618960 is about 9980.9298164049. The cubic root of 99618960 is about 463.5685893033.

The spelling of 99618960 in words is "ninety-nine million, six hundred eighteen thousand, nine hundred sixty".