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1118761380 = 22325113491619
BaseRepresentation
bin100001010101110…
…1111000110100100
32212222010222002200
41002223233012210
54242400331010
6303002534500
736503212662
oct10253570644
92788128080
101118761380
11524569a90
12272807430
1314aa1c3a9
14a8823c32
156833ecc0
hex42aef1a4

1118761380 has 144 divisors (see below), whose sum is σ = 3714984000. Its totient is φ = 270270720.

The previous prime is 1118761379. The next prime is 1118761403. The reversal of 1118761380 is 831678111.

It is a happy number.

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

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, 690211 + ... + 691829.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 21118761380 is an apocalyptic number.

1118761380 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 1118761380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

1118761380 is an abundant number, since it is smaller than the sum of its proper divisors (2596222620).

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

1118761380 is a wasteful number, since it uses less digits than its factorization.

1118761380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1118761380 is about 33447.8905164436. The cubic root of 1118761380 is about 1038.1158501678.

The spelling of 1118761380 in words is "one billion, one hundred eighteen million, seven hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 349 396 495 660 698 990 1047 1396 1619 1745 1980 2094 3141 3238 3490 3839 4188 4857 5235 6282 6476 6980 7678 8095 9714 10470 11517 12564 14571 15356 15705 16190 17809 19195 19428 20940 23034 24285 29142 31410 32380 34551 35618 38390 46068 48570 53427 57585 58284 62820 69102 71236 72855 76780 89045 97140 106854 115170 138204 145710 160281 172755 178090 213708 230340 267135 291420 320562 345510 356180 534270 565031 641124 691020 801405 1068540 1130062 1602810 1695093 2260124 2825155 3205620 3390186 5085279 5650310 6215341 6780372 8475465 10170558 11300620 12430682 16950930 18646023 20341116 24861364 25426395 31076705 33901860 37292046 50852790 55938069 62153410 74584092 93230115 101705580 111876138 124306820 186460230 223752276 279690345 372920460 559380690 1118761380