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9987492240 = 2433511420349
BaseRepresentation
bin10010100110100110…
…10000100110010000
3221210001020011201000
421103103100212100
5130423244222430
64331014342000
7502333166115
oct112323204620
927701204630
109987492240
114265751820
121b2895a900
13c3222b32b
146aa62890c
153d6c3be60
hex2534d0990

9987492240 has 160 divisors (see below), whose sum is σ = 37528848000. Its totient is φ = 2421204480.

The previous prime is 9987492181. The next prime is 9987492289. The reversal of 9987492240 is 422947899.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186415 + ... + 233934.

It is an arithmetic number, because the mean of its divisors is an integer number (234555300).

Almost surely, 29987492240 is an apocalyptic number.

9987492240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9987492240 is an abundant number, since it is smaller than the sum of its proper divisors (27541355760).

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

9987492240 is a wasteful number, since it uses less digits than its factorization.

9987492240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420382 (or 420370 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9987492240 is about 99937.4416322531. The cubic root of 9987492240 is about 2153.5360768718.

The spelling of 9987492240 in words is "nine billion, nine hundred eighty-seven million, four hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 420349 840698 1261047 1681396 2101745 2522094 3362792 3783141 4203490 4623839 5044188 6305235 6725584 7566282 8406980 9247678 10088376 11349423 12610470 13871517 15132564 16813960 18495356 18915705 20176752 22698846 23119195 25220940 27743034 30265128 33627920 36990712 37831410 41614551 45397692 46238390 50441880 55486068 56747115 60530256 69357585 73981424 75662820 83229102 90795384 92476780 100883760 110972136 113494230 124843653 138715170 151325640 166458204 181590768 184953560 208072755 221944272 226988460 249687306 277430340 302651280 332916408 369907120 416145510 453976920 499374612 554860680 624218265 665832816 832291020 907953840 998749224 1109721360 1248436530 1664582040 1997498448 2496873060 3329164080 4993746120 9987492240