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99081504 = 2532192953
BaseRepresentation
bin1011110011111…
…01110100100000
320220102212021100
411321331310200
5200331102004
613455354400
72312115234
oct571756440
9226385240
1099081504
1150a24445
1229222a00
13176b1712
14d2325c4
158a72739
hex5e7dd20

99081504 has 108 divisors (see below), whose sum is σ = 297685206. Its totient is φ = 31256064.

The previous prime is 99081481. The next prime is 99081511. The reversal of 99081504 is 40518099.

It can be written as a sum of positive squares in only one way, i.e., 87385104 + 11696400 = 9348^2 + 3420^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103492 + ... + 104444.

Almost surely, 299081504 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 99081504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148842603).

99081504 is an abundant number, since it is smaller than the sum of its proper divisors (198603702).

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

99081504 is a wasteful number, since it uses less digits than its factorization.

99081504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 99081504 is about 9953.9692585420. The cubic root of 99081504 is about 462.7334165345.

The spelling of 99081504 in words is "ninety-nine million, eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 953 1083 1368 1444 1824 1906 2166 2736 2859 2888 3249 3812 4332 5472 5718 5776 6498 7624 8577 8664 11436 11552 12996 15248 17154 17328 18107 22872 25992 30496 34308 34656 36214 45744 51984 54321 68616 72428 91488 103968 108642 137232 144856 162963 217284 274464 289712 325926 344033 434568 579424 651852 688066 869136 1032099 1303704 1376132 1738272 2064198 2607408 2752264 3096297 4128396 5214816 5504528 6192594 8256792 11009056 12385188 16513584 24770376 33027168 49540752 99081504