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99984780 = 2235572939
BaseRepresentation
bin1011111010110…
…10010110001100
320222010202100000
411331122112030
5201044003110
613531004300
72322566550
oct575322614
9228122300
1099984780
1151491055
1229599690
13179398bc
14d3c9860
158ba01c0
hex5f5a58c

99984780 has 144 divisors (see below), whose sum is σ = 359573760. Its totient is φ = 22845888.

The previous prime is 99984757. The next prime is 99984817. The reversal of 99984780 is 8748999.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32551 + ... + 35489.

It is an arithmetic number, because the mean of its divisors is an integer number (2497040).

Almost surely, 299984780 is an apocalyptic number.

99984780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99984780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179786880).

99984780 is an abundant number, since it is smaller than the sum of its proper divisors (259588980).

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

99984780 is a wasteful number, since it uses less digits than its factorization.

99984780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 99984780 is about 9999.2389710417. The cubic root of 99984780 is about 464.1353338391.

The spelling of 99984780 in words is "ninety-nine million, nine hundred eighty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 2939 3402 3780 4860 5670 5878 6804 8505 8817 11340 11756 14695 17010 17634 20573 26451 29390 34020 35268 41146 44085 52902 58780 61719 79353 82292 88170 102865 105804 123438 132255 158706 176340 185157 205730 238059 246876 264510 308595 317412 370314 396765 411460 476118 529020 555471 617190 714177 740628 793530 925785 952236 1110942 1190295 1234380 1428354 1587060 1666413 1851570 2221884 2380590 2777355 2856708 3332826 3570885 3703140 4761180 4999239 5554710 6665652 7141770 8332065 9998478 11109420 14283540 16664130 19996956 24996195 33328260 49992390 99984780