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99675216 = 243217192143
BaseRepresentation
bin1011111000011…
…10110001010000
320221120000200200
411330032301100
5201004101331
613520215200
72320140204
oct574166120
9227500620
1099675216
115129a513
122946a500
131785ba24
14d348b04
158b3d5e6
hex5f0ec50

99675216 has 120 divisors (see below), whose sum is σ = 311051520. Its totient is φ = 29611008.

The previous prime is 99675193. The next prime is 99675221. The reversal of 99675216 is 61257699.

It is a happy number.

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, 45441 + ... + 47583.

It is an arithmetic number, because the mean of its divisors is an integer number (2592096).

Almost surely, 299675216 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 99675216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155525760).

99675216 is an abundant number, since it is smaller than the sum of its proper divisors (211376304).

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

99675216 is a wasteful number, since it uses less digits than its factorization.

99675216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2184 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 99675216 is about 9983.7475929633. The cubic root of 99675216 is about 463.6558337635.

The spelling of 99675216 in words is "ninety-nine million, six hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2143 2448 2584 2736 2907 3876 4286 5168 5814 6429 7752 8572 11628 12858 15504 17144 19287 23256 25716 34288 36431 38574 40717 46512 51432 72862 77148 81434 102864 109293 122151 145724 154296 162868 218586 244302 291448 308592 325736 327879 366453 437172 488604 582896 651472 655758 692189 732906 874344 977208 1311516 1384378 1465812 1748688 1954416 2076567 2623032 2768756 2931624 4153134 5246064 5537512 5863248 6229701 8306268 11075024 12459402 16612536 24918804 33225072 49837608 99675216