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1160122920 = 2335113128351
BaseRepresentation
bin100010100100110…
…0001001000101000
32222211222100110120
41011021201020220
54333442413140
6311041243240
740514611365
oct10511411050
92884870416
101160122920
1154594a580
12284633520
13156471888
14b010d46c
156bcb01d0
hex45261228

1160122920 has 128 divisors (see below), whose sum is σ = 3919380480. Its totient is φ = 272160000.

The previous prime is 1160122913. The next prime is 1160122927. The reversal of 1160122920 is 292210611.

It is an interprime number because it is at equal distance from previous prime (1160122913) and next prime (1160122927).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1160122927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26745 + ... + 55095.

It is an arithmetic number, because the mean of its divisors is an integer number (30620160).

Almost surely, 21160122920 is an apocalyptic number.

1160122920 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 1160122920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959690240).

1160122920 is an abundant number, since it is smaller than the sum of its proper divisors (2759257560).

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

1160122920 is a wasteful number, since it uses less digits than its factorization.

1160122920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28407 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1160122920 is about 34060.5772117855. The cubic root of 1160122920 is about 1050.7546864648.

The spelling of 1160122920 in words is "one billion, one hundred sixty million, one hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 28351 40920 56702 85053 113404 141755 170106 226808 283510 311861 340212 425265 567020 623722 680424 850530 878881 935583 1134040 1247444 1559305 1701060 1757762 1871166 2494888 2636643 3118610 3402120 3515524 3742332 4394405 4677915 5273286 6237220 7031048 7484664 8788810 9355830 9667691 10546572 12474440 13183215 17577620 18711660 19335382 21093144 26366430 29003073 35155240 37423320 38670764 48338455 52732860 58006146 77341528 96676910 105465720 116012292 145015365 193353820 232024584 290030730 386707640 580061460 1160122920