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1146160656 = 243223401863
BaseRepresentation
bin100010001010001…
…0000011000010000
32221212200222211200
41010110100120100
54321404120111
6305422111200
740255130154
oct10424203020
92855628750
101146160656
11538a83513
1227ba1b500
131535c3694
14ac317064
156a953256
hex44510610

1146160656 has 120 divisors (see below), whose sum is σ = 3359356416. Its totient is φ = 364108800.

The previous prime is 1146160549. The next prime is 1146160661. The reversal of 1146160656 is 6560616411.

It is a happy number.

1146160656 is a `hidden beast` number, since 1 + 1 + 46 + 1 + 606 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1146160656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327681 + ... + 1328543.

Almost surely, 21146160656 is an apocalyptic number.

1146160656 is a gapful number since it is divisible by the number (16) 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 1146160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679678208).

1146160656 is an abundant number, since it is smaller than the sum of its proper divisors (2213195760).

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

1146160656 is a wasteful number, since it uses less digits than its factorization.

1146160656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1146160656 is about 33854.9945502876. The cubic root of 1146160656 is about 1046.5223284449.

The spelling of 1146160656 in words is "one billion, one hundred forty-six million, one hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 401 414 552 802 828 863 1104 1203 1604 1656 1726 2406 2589 3208 3312 3452 3609 4812 5178 6416 6904 7218 7767 9223 9624 10356 13808 14436 15534 18446 19248 19849 20712 27669 28872 31068 36892 39698 41424 55338 57744 59547 62136 73784 79396 83007 110676 119094 124272 147568 158792 166014 178641 221352 238188 317584 332028 346063 357282 442704 476376 664056 692126 714564 952752 1038189 1328112 1384252 1429128 2076378 2768504 2858256 3114567 4152756 5537008 6229134 7959449 8305512 12458268 15918898 16611024 23878347 24916536 31837796 47756694 49833072 63675592 71635041 95513388 127351184 143270082 191026776 286540164 382053552 573080328 1146160656