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99295560 = 233257213433
BaseRepresentation
bin1011110101100…
…10000101001000
320220211201220100
411322302011020
5200404424220
613504125400
72313666300
oct572620510
9226751810
1099295560
1151060251
1229306860
1317757c90
14d28a600
158ab5d90
hex5eb2148

99295560 has 288 divisors, whose sum is σ = 405208440. Its totient is φ = 20901888.

The previous prime is 99295543. The next prime is 99295571. The reversal of 99295560 is 6559299.

99295560 is a `hidden beast` number, since 9 + 92 + 9 + 556 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40220964 + 59074596 = 6342^2 + 7686^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229104 + ... + 229536.

Almost surely, 299295560 is an apocalyptic number.

99295560 is a gapful number since it is divisible by the number (90) 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 99295560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

99295560 is an abundant number, since it is smaller than the sum of its proper divisors (305912880).

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

99295560 is a wasteful number, since it uses less digits than its factorization.

99295560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 99295560 is about 9964.7157510889. The cubic root of 99295560 is about 463.0664071054.

The spelling of 99295560 in words is "ninety-nine million, two hundred ninety-five thousand, five hundred sixty".