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87260898120 = 233511531247297
BaseRepresentation
bin101000101000100100…
…1111010001101001000
322100020100202220201120
41101101021322031020
52412202242214440
6104030451515240
76206256252534
oct1212111721510
9270210686646
1087260898120
1134009558330
1214ab35b8b20
1382c84c7a36
14431b20abc4
15240ab70dd0
hex145127a348

87260898120 has 128 divisors (see below), whose sum is σ = 290969677440. Its totient is φ = 20755005440.

The previous prime is 87260898113. The next prime is 87260898133. The reversal of 87260898120 is 2189806278.

It is a happy number.

It is a super-3 number, since 3×872608981203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553689 + ... + 693608.

It is an arithmetic number, because the mean of its divisors is an integer number (2273200605).

Almost surely, 287260898120 is an apocalyptic number.

It is an amenable number.

87260898120 is an abundant number, since it is smaller than the sum of its proper divisors (203708779320).

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

87260898120 is a wasteful number, since it uses less digits than its factorization.

87260898120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247375 (or 1247371 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 87260898120 in words is "eighty-seven billion, two hundred sixty million, eight hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 5830 6360 6996 8745 11660 13992 17490 23320 34980 69960 1247297 2494594 3741891 4989188 6236485 7483782 9978376 12472970 13720267 14967564 18709455 24945940 27440534 29935128 37418910 41160801 49891880 54881068 66106741 68601335 74837820 82321602 109762136 132213482 137202670 149675640 164643204 198320223 205804005 264426964 274405340 329286408 330533705 396640446 411608010 528853928 548810680 661067410 727174151 793280892 823216020 991601115 1322134820 1454348302 1586561784 1646432040 1983202230 2181522453 2644269640 2908696604 3635870755 3966404460 4363044906 5817393208 7271741510 7932808920 8726089812 10907612265 14543483020 17452179624 21815224530 29086966040 43630449060 87260898120