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99954084 = 223176771103
BaseRepresentation
bin1011111010100…
…10110110100100
320222002012020010
411331102312210
5201042012314
613530210220
72322411216
oct575226644
9228065203
1099954084
115146aa8a
1229583970
1317928939
14d3bc5b6
158b96059
hex5f52da4

99954084 has 96 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 30159360.

The previous prime is 99954077. The next prime is 99954089. The reversal of 99954084 is 48045999.

It is not an unprimeable number, because it can be changed into a prime (99954089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970377 + ... + 970479.

It is an arithmetic number, because the mean of its divisors is an integer number (2673216).

Almost surely, 299954084 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 99954084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

99954084 is an abundant number, since it is smaller than the sum of its proper divisors (156674652).

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

99954084 is a wasteful number, since it uses less digits than its factorization.

99954084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 99954084 is about 9997.7039364046. The cubic root of 99954084 is about 464.0878314211.

The spelling of 99954084 in words is "ninety-nine million, nine hundred fifty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 71 102 103 134 142 201 204 206 213 268 284 309 402 412 426 618 804 852 1139 1207 1236 1751 2278 2414 3417 3502 3621 4556 4757 4828 5253 6834 6901 7004 7242 7313 9514 10506 13668 13802 14271 14484 14626 19028 20703 21012 21939 27604 28542 29252 41406 43878 57084 80869 82812 87756 117317 124321 161738 234634 242607 248642 323476 351951 372963 469268 485214 489971 497284 703902 745926 970428 979942 1407804 1469913 1491852 1959884 2939826 5879652 8329507 16659014 24988521 33318028 49977042 99954084