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99234720 = 25345131931
BaseRepresentation
bin1011110101000…
…11001110100000
320220201122110000
411322203032200
5200401002340
613502540000
72313324024
oct572431640
9226648400
1099234720
1151019572
1229297600
1317736390
14d272384
158aa2d30
hex5ea33a0

99234720 has 480 divisors, whose sum is σ = 409812480. Its totient is φ = 22394880.

The previous prime is 99234691. The next prime is 99234721. The reversal of 99234720 is 2743299.

It is a tau number, because it is divible by the number of its divisors (480).

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 (99234721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3201105 + ... + 3201135.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 299234720 is an apocalyptic number.

99234720 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 99234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

99234720 is an abundant number, since it is smaller than the sum of its proper divisors (310577760).

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

99234720 is a wasteful number, since it uses less digits than its factorization.

99234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 99234720 is about 9961.6625118501. The cubic root of 99234720 is about 462.9718116835.

The spelling of 99234720 in words is "ninety-nine million, two hundred thirty-four thousand, seven hundred twenty".