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99810084 = 223112273331
BaseRepresentation
bin1011111001011…
…11101100100100
320221210212200210
411330233230210
5201022410314
613523135420
72321241333
oct574575444
9227725623
1099810084
1151381880
1229514570
13178a822a
14d381d1a
158b68559
hex5f2fb24

99810084 has 48 divisors (see below), whose sum is σ = 255257856. Its totient is φ = 30103200.

The previous prime is 99810047. The next prime is 99810121. The reversal of 99810084 is 48001899.

It is an interprime number because it is at equal distance from previous prime (99810047) and next prime (99810121).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28299 + ... + 31629.

It is an arithmetic number, because the mean of its divisors is an integer number (5317872).

Almost surely, 299810084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99810084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127628928).

99810084 is an abundant number, since it is smaller than the sum of its proper divisors (155447772).

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

99810084 is a wasteful number, since it uses less digits than its factorization.

99810084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 99810084 is about 9990.4996872028. The cubic root of 99810084 is about 463.8648598218.

The spelling of 99810084 in words is "ninety-nine million, eight hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 3331 4994 6662 7491 9988 9993 13324 14982 19986 29964 36641 39972 73282 109923 146564 219846 439692 756137 1512274 2268411 3024548 4536822 8317507 9073644 16635014 24952521 33270028 49905042 99810084