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1136425680 = 243351340471
BaseRepresentation
bin100001110111100…
…0111101011010000
32221012101101222000
41003233013223100
54311411110210
6304433314000
740106313255
oct10357075320
92835341860
101136425680
11533534485
12278705900
13151595640
14aad0142c
1569b7dac0
hex43bc7ad0

1136425680 has 160 divisors (see below), whose sum is σ = 4215563520. Its totient is φ = 279728640.

The previous prime is 1136425679. The next prime is 1136425709. The reversal of 1136425680 is 865246311.

It is a happy number.

1136425680 is a `hidden beast` number, since 1 + 1 + 3 + 642 + 5 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7845 + ... + 48315.

It is an arithmetic number, because the mean of its divisors is an integer number (26347272).

Almost surely, 21136425680 is an apocalyptic number.

1136425680 is a gapful number since it is divisible by the number (10) 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 1136425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107781760).

1136425680 is an abundant number, since it is smaller than the sum of its proper divisors (3079137840).

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

1136425680 is a wasteful number, since it uses less digits than its factorization.

1136425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40506 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1136425680 is about 33710.9133664456. The cubic root of 1136425680 is about 1043.5510025920.

The spelling of 1136425680 in words is "one billion, one hundred thirty-six million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 40471 80942 121413 161884 202355 242826 323768 364239 404710 485652 526123 607065 647536 728478 809420 971304 1052246 1092717 1214130 1456956 1578369 1618840 1821195 1942608 2104492 2185434 2428260 2630615 2913912 3156738 3237680 3642390 4208984 4370868 4735107 4856520 5261230 5463585 5827824 6313476 7284780 7891845 8417968 8741736 9470214 9713040 10522460 10927170 12626952 14205321 14569560 15783690 17483472 18940428 21044920 21854340 23675535 25253904 28410642 29139120 31567380 37880856 42089840 43708680 47351070 56821284 63134760 71026605 75761712 87417360 94702140 113642568 126269520 142053210 189404280 227285136 284106420 378808560 568212840 1136425680