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99106632 = 23332319949
BaseRepresentation
bin1011110100000…
…11111101001000
320220111010202000
411322003331020
5200332403012
613500111000
72312251422
oct572037510
9226433660
1099106632
1150a41309
1229235460
13176bcca1
14d23b812
158a79ddc
hex5e83f48

99106632 has 64 divisors (see below), whose sum is σ = 287280000. Its totient is φ = 31597632.

The previous prime is 99106627. The next prime is 99106643. The reversal of 99106632 is 23660199.

99106632 is a `hidden beast` number, since 9 + 9 + 10 + 6 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5007 + ... + 14942.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 299106632 is an apocalyptic number.

99106632 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

99106632 is an abundant number, since it is smaller than the sum of its proper divisors (188173368).

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

99106632 is a wasteful number, since it uses less digits than its factorization.

99106632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19987 (or 19977 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99106632 is about 9955.2313885715. The cubic root of 99106632 is about 462.7725310749.

The spelling of 99106632 in words is "ninety-nine million, one hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 19949 39898 59847 79796 119694 159592 179541 239388 359082 458827 478776 538623 718164 917654 1077246 1376481 1436328 1835308 2154492 2752962 3670616 4129443 4308984 5505924 8258886 11011848 12388329 16517772 24776658 33035544 49553316 99106632