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99860992 = 2971117149
BaseRepresentation
bin1011111001111…
…00001000000000
320221220110112021
411330330020000
5201031022432
613524211224
72321542630
oct574741000
9227813467
1099860992
1151407050
1229539b14
13178c545a
14d3966c0
158b78697
hex5f3c200

99860992 has 160 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 36372480.

The previous prime is 99860987. The next prime is 99861011. The reversal of 99860992 is 29906899.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670134 + ... + 670282.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 299860992 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 99860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

99860992 is an abundant number, since it is smaller than the sum of its proper divisors (165300608).

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

99860992 is a wasteful number, since it uses less digits than its factorization.

99860992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The square root of 99860992 is about 9993.0471829167. The cubic root of 99860992 is about 463.9437109680.

The spelling of 99860992 in words is "ninety-nine million, eight hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 149 154 176 187 224 238 256 272 298 308 352 374 448 476 512 544 596 616 704 748 896 952 1043 1088 1192 1232 1309 1408 1496 1639 1792 1904 2086 2176 2384 2464 2533 2618 2816 2992 3278 3584 3808 4172 4352 4768 4928 5066 5236 5632 5984 6556 7616 8344 8704 9536 9856 10132 10472 11473 11968 13112 15232 16688 17731 19072 19712 20264 20944 22946 23936 26224 27863 30464 33376 35462 38144 39424 40528 41888 45892 47872 52448 55726 60928 66752 70924 76288 81056 83776 91784 95744 104896 111452 133504 141848 162112 167552 183568 195041 209792 222904 267008 283696 324224 335104 367136 390082 419584 445808 534016 567392 648448 670208 734272 780164 839168 891616 1134784 1296896 1468544 1560328 1783232 2269568 2937088 3120656 3566464 4539136 5874176 6241312 7132928 9078272 12482624 14265856 24965248 49930496 99860992