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99790560 = 25325232131
BaseRepresentation
bin1011111001010…
…10111011100000
320221202212220200
411330222323200
5201021244220
613522505200
72321130402
oct574527340
9227685820
1099790560
1151369141
1229505200
131789c38c
14d378b72
158b62890
hex5f2aee0

99790560 has 216 divisors, whose sum is σ = 358702344. Its totient is φ = 25259520.

The previous prime is 99790553. The next prime is 99790567. The reversal of 99790560 is 6509799.

It is an interprime number because it is at equal distance from previous prime (99790553) and next prime (99790567).

It is a super-2 number, since 2×997905602 = 19916311730227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99790567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761695 + ... + 761825.

It is an arithmetic number, because the mean of its divisors is an integer number (1660659).

Almost surely, 299790560 is an apocalyptic number.

99790560 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 99790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179351172).

99790560 is an abundant number, since it is smaller than the sum of its proper divisors (258911784).

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

99790560 is a wasteful number, since it uses less digits than its factorization.

99790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 99790560 is about 9989.5225111113. The cubic root of 99790560 is about 463.8346120828.

The spelling of 99790560 in words is "ninety-nine million, seven hundred ninety thousand, five hundred sixty".