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99940984 = 231113199439
BaseRepresentation
bin1011111010011…
…11101001111000
320222001112020221
411331033221320
5201041102414
613530025424
72322325063
oct575175170
9228045227
1099940984
1151461160
1229578274
13179229a0
14d3b78da
158b92224
hex5f4fa78

99940984 has 64 divisors (see below), whose sum is σ = 221760000. Its totient is φ = 41627520.

The previous prime is 99940963. The next prime is 99941021. The reversal of 99940984 is 48904999.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227437 + ... + 227875.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 299940984 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 99940984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880000).

99940984 is an abundant number, since it is smaller than the sum of its proper divisors (121819016).

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

99940984 is a wasteful number, since it uses less digits than its factorization.

99940984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 99940984 is about 9997.0487645105. The cubic root of 99940984 is about 464.0675560575.

The spelling of 99940984 in words is "ninety-nine million, nine hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 199 286 398 439 572 796 878 1144 1592 1756 2189 2587 3512 4378 4829 5174 5707 8756 9658 10348 11414 17512 19316 20696 22828 28457 38632 45656 56914 62777 87361 113828 125554 174722 227656 251108 349444 502216 698888 960971 1135693 1921942 2271386 3843884 4542772 7687768 9085544 12492623 24985246 49970492 99940984