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99946968 = 233112127271
BaseRepresentation
bin1011111010100…
…01000111011000
320222001211110120
411331101013120
5201041300333
613530113240
72322351402
oct575210730
9228054416
1099946968
1151465700
122957b820
1317925624
14d3b9b72
158b93db3
hex5f511d8

99946968 has 96 divisors (see below), whose sum is σ = 277831680. Its totient is φ = 29937600.

The previous prime is 99946943. The next prime is 99946991. The reversal of 99946968 is 86964999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368673 + ... + 368943.

It is an arithmetic number, because the mean of its divisors is an integer number (2894080).

Almost surely, 299946968 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 99946968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915840).

99946968 is an abundant number, since it is smaller than the sum of its proper divisors (177884712).

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

99946968 is a wasteful number, since it uses less digits than its factorization.

99946968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 60.

The square root of 99946968 is about 9997.3480483576. The cubic root of 99946968 is about 464.0768179396.

The spelling of 99946968 in words is "ninety-nine million, nine hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 132 242 254 264 271 363 381 484 508 542 726 762 813 968 1016 1084 1397 1452 1524 1626 2168 2794 2904 2981 3048 3252 4191 5588 5962 6504 8382 8943 11176 11924 15367 16764 17886 23848 30734 32791 33528 34417 35772 46101 61468 65582 68834 71544 92202 98373 103251 122936 131164 137668 184404 196746 206502 262328 275336 368808 378587 393492 413004 757174 786984 826008 1135761 1514348 2271522 3028696 4164457 4543044 8328914 9086088 12493371 16657828 24986742 33315656 49973484 99946968