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99870768 = 2432431272
BaseRepresentation
bin1011111001111…
…10100000110000
320221220221221100
411330332200300
5201031331033
613524324400
72321613264
oct574764060
9227827840
1099870768
1151413428
1229543700
13178c9a3a
14d39a0a4
158b7b513
hex5f3e830

99870768 has 90 divisors (see below), whose sum is σ = 288269124. Its totient is φ = 32260032.

The previous prime is 99870739. The next prime is 99870779. The reversal of 99870768 is 86707899.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 786321 + ... + 786447.

Almost surely, 299870768 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 99870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144134562).

99870768 is an abundant number, since it is smaller than the sum of its proper divisors (188398356).

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

99870768 is a wasteful number, since it uses less digits than its factorization.

99870768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 99870768 is about 9993.5363110362. The cubic root of 99870768 is about 463.9588498981.

The spelling of 99870768 in words is "ninety-nine million, eight hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 127 129 144 172 254 258 344 381 387 508 516 688 762 774 1016 1032 1143 1524 1548 2032 2064 2286 3048 3096 4572 5461 6096 6192 9144 10922 16129 16383 18288 21844 32258 32766 43688 48387 49149 64516 65532 87376 96774 98298 129032 131064 145161 193548 196596 258064 262128 290322 387096 393192 580644 693547 774192 786384 1161288 1387094 2080641 2322576 2774188 4161282 5548376 6241923 8322564 11096752 12483846 16645128 24967692 33290256 49935384 99870768