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99680140 = 22573532017
BaseRepresentation
bin1011111000011…
…11111110001100
320221120021110001
411330033332030
5201004231030
613520254044
72320160440
oct574177614
9227507401
1099680140
11512a318a
1229471324
1317861041
14d34a820
158b3ecca
hex5f0ff8c

99680140 has 48 divisors (see below), whose sum is σ = 240028992. Its totient is φ = 34062336.

The previous prime is 99680131. The next prime is 99680177. The reversal of 99680140 is 4108699.

99680140 is a nontrivial binomial coefficient, being equal to C(14120, 2).

It is a super-2 number, since 2×996801402 = 19872260620839200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99680140.

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, 48412 + ... + 50428.

It is an arithmetic number, because the mean of its divisors is an integer number (5000604).

Almost surely, 299680140 is an apocalyptic number.

99680140 is the 14119-th triangular number and also the 7060-th hexagonal number.

99680140 is the 4707-th centered nonagonal number.

It is an amenable number.

99680140 is an abundant number, since it is smaller than the sum of its proper divisors (140348852).

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

99680140 is a wasteful number, since it uses less digits than its factorization.

99680140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 99680140 is about 9983.9941907034. The cubic root of 99680140 is about 463.6634685725.

The spelling of 99680140 in words is "ninety-nine million, six hundred eighty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 353 706 1412 1765 2017 2471 3530 4034 4942 7060 8068 9884 10085 12355 14119 20170 24710 28238 40340 49420 56476 70595 141190 282380 712001 1424002 2848004 3560005 4984007 7120010 9968014 14240020 19936028 24920035 49840070 99680140