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1121992368 = 2437291131019
BaseRepresentation
bin100001011100000…
…0011111010110000
32220012020010011220
41002320003322300
54244212223433
6303200105040
736542530530
oct10270037260
92805203156
101121992368
11526376522
12273905180
1314b5b0c13
14a90254c0
156877c2b3
hex42e03eb0

1121992368 has 160 divisors (see below), whose sum is σ = 3460492800. Its totient is φ = 306475008.

The previous prime is 1121992357. The next prime is 1121992369. The reversal of 1121992368 is 8632991211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1121992369) by changing a digit.

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, 1100563 + ... + 1101581.

It is an arithmetic number, because the mean of its divisors is an integer number (21628080).

Almost surely, 21121992368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121992368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730246400).

1121992368 is an abundant number, since it is smaller than the sum of its proper divisors (2338500432).

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

1121992368 is a wasteful number, since it uses less digits than its factorization.

1121992368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 1121992368 is about 33496.1545255571. The cubic root of 1121992368 is about 1039.1142507685.

The spelling of 1121992368 in words is "one billion, one hundred twenty-one million, nine hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 113 116 168 174 203 226 232 336 339 348 406 452 464 609 678 696 791 812 904 1019 1218 1356 1392 1582 1624 1808 2038 2373 2436 2712 3057 3164 3248 3277 4076 4746 4872 5424 6114 6328 6554 7133 8152 9492 9744 9831 12228 12656 13108 14266 16304 18984 19662 21399 22939 24456 26216 28532 29551 37968 39324 42798 45878 48912 52432 57064 59102 68817 78648 85596 88653 91756 114128 115147 118204 137634 157296 171192 177306 183512 206857 230294 236408 275268 342384 345441 354612 367024 413714 460588 472816 550536 620571 690882 709224 806029 827428 921176 1101072 1241142 1381764 1418448 1612058 1654856 1842352 2418087 2482284 2763528 3224116 3309712 3339263 4836174 4964568 5527056 6448232 6678526 9672348 9929136 10017789 12896464 13357052 19344696 20035578 23374841 26714104 38689392 40071156 46749682 53428208 70124523 80142312 93499364 140249046 160284624 186998728 280498092 373997456 560996184 1121992368