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99308016 = 243217113359
BaseRepresentation
bin1011110101101…
…01000111110000
320220212100222200
411322311013300
5200410324031
613504303200
72314050513
oct572650760
9226770880
1099308016
1151069645
1229311b00
1317760852
14d290d7a
158ab98e6
hex5eb51f0

99308016 has 120 divisors (see below), whose sum is σ = 297704160. Its totient is φ = 30793728.

The previous prime is 99307993. The next prime is 99308021. The reversal of 99308016 is 61080399.

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 23 ways as a sum of consecutive naturals, for example, 276445 + ... + 276803.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 299308016 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 99308016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080).

99308016 is an abundant number, since it is smaller than the sum of its proper divisors (198396144).

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

99308016 is a wasteful number, since it uses less digits than its factorization.

99308016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99308016 is about 9965.3407367736. The cubic root of 99308016 is about 463.0857692132.

The spelling of 99308016 in words is "ninety-nine million, three hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 113 136 144 153 204 226 272 306 339 359 408 452 612 678 718 816 904 1017 1077 1224 1356 1436 1808 1921 2034 2154 2448 2712 2872 3231 3842 4068 4308 5424 5744 5763 6103 6462 7684 8136 8616 11526 12206 12924 15368 16272 17232 17289 18309 23052 24412 25848 30736 34578 36618 40567 46104 48824 51696 54927 69156 73236 81134 92208 97648 109854 121701 138312 146472 162268 219708 243402 276624 292944 324536 365103 439416 486804 649072 689639 730206 878832 973608 1379278 1460412 1947216 2068917 2758556 2920824 4137834 5517112 5841648 6206751 8275668 11034224 12413502 16551336 24827004 33102672 49654008 99308016