Search a number
-
+
99180816 = 24372291289
BaseRepresentation
bin1011110100101…
…10000100010000
320220121220111120
411322112010100
5200342241231
613501442240
72313010620
oct572260420
9226556446
1099180816
1150a92019
1229270380
1317717997
14d25a880
158a91d96
hex5e96110

99180816 has 80 divisors (see below), whose sum is σ = 294326400. Its totient is φ = 28191744.

The previous prime is 99180803. The next prime is 99180827. The reversal of 99180816 is 61808199.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 76300 + ... + 77588.

It is an arithmetic number, because the mean of its divisors is an integer number (3679080).

Almost surely, 299180816 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 99180816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147163200).

99180816 is an abundant number, since it is smaller than the sum of its proper divisors (195145584).

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

99180816 is a wasteful number, since it uses less digits than its factorization.

99180816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 99180816 is about 9958.9565718503. The cubic root of 99180816 is about 462.8879682042.

The spelling of 99180816 in words is "ninety-nine million, one hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1289 1374 1603 1832 2578 2748 3206 3664 3867 4809 5156 5496 6412 7734 9023 9618 10312 10992 12824 15468 18046 19236 20624 25648 27069 30936 36092 38472 54138 61872 72184 76944 108276 144368 216552 295181 433104 590362 885543 1180724 1771086 2066267 2361448 3542172 4132534 4722896 6198801 7084344 8265068 12397602 14168688 16530136 24795204 33060272 49590408 99180816