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99705216 = 2731319973
BaseRepresentation
bin1011111000101…
…10000110000000
320221121112211210
411330112012000
5201011031331
613521010120
72320323522
oct574260600
9227545753
1099705216
1151310006
1229483940
131786c590
14d355a12
158b47446
hex5f16180

99705216 has 64 divisors (see below), whose sum is σ = 285228720. Its totient is φ = 30676992.

The previous prime is 99705209. The next prime is 99705223. The reversal of 99705216 is 61250799.

It is an interprime number because it is at equal distance from previous prime (99705209) and next prime (99705223).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×997052162 = 19882260195213312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4995 + ... + 14978.

Almost surely, 299705216 is an apocalyptic number.

99705216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99705216 is an abundant number, since it is smaller than the sum of its proper divisors (185523504).

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

99705216 is a wasteful number, since it uses less digits than its factorization.

99705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20003 (or 19991 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 99705216 is about 9985.2499217596. The cubic root of 99705216 is about 463.7023457595.

The spelling of 99705216 in words is "ninety-nine million, seven hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 19973 39946 59919 79892 119838 159784 239676 259649 319568 479352 519298 639136 778947 958704 1038596 1278272 1557894 1917408 2077192 2556544 3115788 3834816 4154384 6231576 7669632 8308768 12463152 16617536 24926304 33235072 49852608 99705216