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99917910 = 23251497451
BaseRepresentation
bin1011111010010…
…10000001010110
320222000100121100
411331022001112
5201034333120
613525330530
72322200601
oct575120126
9228010540
1099917910
1151445894
1229566a46
1317915331
14d3ad338
158b8a490
hex5f4a056

99917910 has 48 divisors (see below), whose sum is σ = 261565200. Its totient is φ = 26462400.

The previous prime is 99917893. The next prime is 99917921. The reversal of 99917910 is 1971999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9685 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (5449275).

Almost surely, 299917910 is an apocalyptic number.

99917910 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99917910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130782600).

99917910 is an abundant number, since it is smaller than the sum of its proper divisors (161647290).

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

99917910 is a wasteful number, since it uses less digits than its factorization.

99917910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 45.

The square root of 99917910 is about 9995.8946573081. The cubic root of 99917910 is about 464.0318392490.

The spelling of 99917910 in words is "ninety-nine million, nine hundred seventeen thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 7451 13410 14902 22353 37255 44706 67059 74510 111765 134118 223530 335295 670590 1110199 2220398 3330597 5550995 6661194 9991791 11101990 16652985 19983582 33305970 49958955 99917910