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99025920 = 2103257307
BaseRepresentation
bin1011110011100…
…00010000000000
320220100001000200
411321300100000
5200322312140
613454245200
72311464210
oct571602000
9226301020
1099025920
1150996704
12291b6800
1317692326
14d21a240
158a61030
hex5e70400

99025920 has 264 divisors, whose sum is σ = 393417024. Its totient is φ = 22560768.

The previous prime is 99025919. The next prime is 99025921. The reversal of 99025920 is 2952099.

It is an interprime number because it is at equal distance from previous prime (99025919) and next prime (99025921).

It is a super-2 number, since 2×990259202 = 19612265663692800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (99025921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322407 + ... + 322713.

It is an arithmetic number, because the mean of its divisors is an integer number (1490216).

Almost surely, 299025920 is an apocalyptic number.

99025920 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 99025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196708512).

99025920 is an abundant number, since it is smaller than the sum of its proper divisors (294391104).

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

99025920 is a wasteful number, since it uses less digits than its factorization.

99025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

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

The square root of 99025920 is about 9951.1768148295. The cubic root of 99025920 is about 462.6468703263.

The spelling of 99025920 in words is "ninety-nine million, twenty-five thousand, nine hundred twenty".