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99874320 = 243571317269
BaseRepresentation
bin1011111001111…
…11011000010000
320221221010210220
411330333120100
5201031434240
613524353040
72321626530
oct574773020
9227833726
1099874320
1151416067
1229545780
13178cb540
14d39b4c0
158b7c5d0
hex5f3f610

99874320 has 320 divisors, whose sum is σ = 404974080. Its totient is φ = 19759104.

The previous prime is 99874301. The next prime is 99874339. The reversal of 99874320 is 2347899.

It is an interprime number because it is at equal distance from previous prime (99874301) and next prime (99874339).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 10.

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, 371146 + ... + 371414.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 299874320 is an apocalyptic number.

99874320 is the 8160-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

99874320 is an abundant number, since it is smaller than the sum of its proper divisors (305099760).

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

99874320 is a wasteful number, since it uses less digits than its factorization.

99874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 99874320 is about 9993.7140243255. The cubic root of 99874320 is about 463.9643502139.

The spelling of 99874320 in words is "ninety-nine million, eight hundred seventy-four thousand, three hundred twenty".