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99070560 = 25335171971
BaseRepresentation
bin1011110011110…
…11001001100000
320220102022021000
411321323021200
5200330224220
613455232000
72312041311
oct571731140
9226368230
1099070560
1150a171a6
1229218600
13176a9744
14d22c608
158a6e390
hex5e7b260

99070560 has 384 divisors, whose sum is σ = 391910400. Its totient is φ = 23224320.

The previous prime is 99070511. The next prime is 99070561. The reversal of 99070560 is 6507099.

99070560 is a `hidden beast` number, since 9 + 90 + 7 + 0 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99070561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395325 + ... + 1395395.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 299070560 is an apocalyptic number.

99070560 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 99070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

99070560 is an abundant number, since it is smaller than the sum of its proper divisors (292839840).

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

99070560 is a wasteful number, since it uses less digits than its factorization.

99070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99070560 is about 9953.4195129111. The cubic root of 99070560 is about 462.7163789080.

The spelling of 99070560 in words is "ninety-nine million, seventy thousand, five hundred sixty".