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99000096 = 25313233449
BaseRepresentation
bin1011110011010…
…01111100100000
320220021201121020
411321221330200
5200321000341
613453525440
72311326006
oct571517440
9226251536
1099000096
1150979268
12291a3880
1317683650
14d210a76
158a58566
hex5e69f20

99000096 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 29128704.

The previous prime is 99000079. The next prime is 99000101. The reversal of 99000096 is 69000099.

It is a tau number, because it is divible by the number of its divisors (96).

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, 26980 + ... + 30428.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 299000096 is an apocalyptic number.

99000096 is a gapful number since it is divisible by the number (96) 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 99000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

99000096 is an abundant number, since it is smaller than the sum of its proper divisors (193118304).

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

99000096 is a wasteful number, since it uses less digits than its factorization.

99000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 99000096 is about 9949.8791952465. The cubic root of 99000096 is about 462.6066504476.

The spelling of 99000096 in words is "ninety-nine million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3449 3588 4784 6898 7176 9568 10347 13796 14352 20694 27592 28704 41388 44837 55184 79327 82776 89674 110368 134511 158654 165552 179348 237981 269022 317308 331104 358696 475962 538044 634616 717392 951924 1031251 1076088 1269232 1434784 1903848 2062502 2152176 2538464 3093753 3807696 4125004 4304352 6187506 7615392 8250008 12375012 16500016 24750024 33000032 49500048 99000096