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99000090 = 2335731069
BaseRepresentation
bin1011110011010…
…01111100011010
320220021201121000
411321221330122
5200321000330
613453525430
72311326000
oct571517432
9226251530
1099000090
1150979262
12291a3876
1317683647
14d210a70
158a58560
hex5e69f1a

99000090 has 128 divisors (see below), whose sum is σ = 308160000. Its totient is φ = 22607424.

The previous prime is 99000079. The next prime is 99000101. The reversal of 99000090 is 9000099.

It is an interprime number because it is at equal distance from previous prime (99000079) and next prime (99000101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92076 + ... + 93144.

It is an arithmetic number, because the mean of its divisors is an integer number (2407500).

Almost surely, 299000090 is an apocalyptic number.

99000090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154080000).

99000090 is an abundant number, since it is smaller than the sum of its proper divisors (209159910).

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

99000090 is a wasteful number, since it uses less digits than its factorization.

99000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 99000090 is about 9949.8788937353. The cubic root of 99000090 is about 462.6066411020.

The spelling of 99000090 in words is "ninety-nine million, ninety", and thus it is an aban number and an uban number.