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99403164 = 223272371523
BaseRepresentation
bin1011110110011…
…00010110011100
320221001012111200
411323030112130
5200421400124
613510315500
72314625100
oct573142634
9227035450
1099403164
1151124083
1229358b90
1317794c53
14d2b7900
158ad7bc9
hex5ecc59c

99403164 has 108 divisors (see below), whose sum is σ = 300389544. Its totient is φ = 27615168.

The previous prime is 99403123. The next prime is 99403177. The reversal of 99403164 is 46130499.

99403164 is a `hidden beast` number, since 99 + 403 + 164 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64507 + ... + 66029.

Almost surely, 299403164 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 99403164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150194772).

99403164 is an abundant number, since it is smaller than the sum of its proper divisors (200986380).

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

99403164 is a wasteful number, since it uses less digits than its factorization.

99403164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99403164 is about 9970.1135399754. The cubic root of 99403164 is about 463.2336177020.

The spelling of 99403164 in words is "ninety-nine million, four hundred three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1523 1554 1764 1813 2331 3046 3108 3626 4569 4662 5439 6092 7252 9138 9324 10661 10878 13707 16317 18276 21322 21756 27414 31983 32634 42644 54828 56351 63966 65268 74627 95949 112702 127932 149254 169053 191898 223881 225404 298508 338106 383796 394457 447762 507159 671643 676212 788914 895524 1014318 1183371 1343286 1577828 2028636 2366742 2686572 2761199 3550113 4733484 5522398 7100226 8283597 11044796 14200452 16567194 24850791 33134388 49701582 99403164