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99590040 = 233351183101
BaseRepresentation
bin1011110111110…
…01111110011000
320221101200212000
411323321332120
5200443340130
613514321000
72316333654
oct573717630
9227350760
1099590040
1151241520
1229429160
131782c024
14d325a64
158b23260
hex5ef9f98

99590040 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 23616000.

The previous prime is 99590033. The next prime is 99590047. The reversal of 99590040 is 4009599.

It is an interprime number because it is at equal distance from previous prime (99590033) and next prime (99590047).

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

It is a junction number, because it is equal to n+sod(n) for n = 99589977 and 99590004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99590047) 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, 985990 + ... + 986090.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 299590040 is an apocalyptic number.

99590040 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 99590040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

99590040 is an abundant number, since it is smaller than the sum of its proper divisors (270547560).

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

99590040 is a wasteful number, since it uses less digits than its factorization.

99590040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99590040 is about 9979.4809484261. The cubic root of 99590040 is about 463.5237260192.

The spelling of 99590040 in words is "ninety-nine million, five hundred ninety thousand, forty".