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99364680 = 233251973199
BaseRepresentation
bin1011110110000…
…10111101001000
320220222020201100
411323002331020
5200414132210
613505421400
72314404642
oct573027510
9226866640
1099364680
11510a8178
122933a860
131778058c
14d2a7892
158acb5c0
hex5ec2f48

99364680 has 192 divisors, whose sum is σ = 346320000. Its totient is φ = 24634368.

The previous prime is 99364663. The next prime is 99364697. The reversal of 99364680 is 8646399.

It is an interprime number because it is at equal distance from previous prime (99364663) and next prime (99364697).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499221 + ... + 499419.

It is an arithmetic number, because the mean of its divisors is an integer number (1803750).

Almost surely, 299364680 is an apocalyptic number.

99364680 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 99364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173160000).

99364680 is an abundant number, since it is smaller than the sum of its proper divisors (246955320).

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

99364680 is a wasteful number, since it uses less digits than its factorization.

99364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 99364680 is about 9968.1833851510. The cubic root of 99364680 is about 463.1738295862.

The spelling of 99364680 in words is "ninety-nine million, three hundred sixty-four thousand, six hundred eighty".