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99189840 = 2435715821
BaseRepresentation
bin1011110100110…
…00010001010000
320220122100212210
411322120101100
5200343033330
613501552120
72313046131
oct572302120
9226570783
1099189840
1150a98882
1229275640
131771bb19
14d25dc88
158a948b0
hex5e98450

99189840 has 80 divisors (see below), whose sum is σ = 311872896. Its totient is φ = 26073600.

The previous prime is 99189803. The next prime is 99189851. The reversal of 99189840 is 4898199.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99189840.

It is a congruent number.

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, 14130 + ... + 19950.

Almost surely, 299189840 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 99189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155936448).

99189840 is an abundant number, since it is smaller than the sum of its proper divisors (212683056).

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

99189840 is a wasteful number, since it uses less digits than its factorization.

99189840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 99189840 is about 9959.4096210569. The cubic root of 99189840 is about 462.9020064511.

The spelling of 99189840 in words is "ninety-nine million, one hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 5821 8520 11642 17040 17463 23284 29105 34926 46568 58210 69852 87315 93136 116420 139704 174630 232840 279408 349260 413291 465680 698520 826582 1239873 1397040 1653164 2066455 2479746 3306328 4132910 4959492 6199365 6612656 8265820 9918984 12398730 16531640 19837968 24797460 33063280 49594920 99189840