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1123358656 = 26731471721
BaseRepresentation
bin100001011110101…
…0001011111000000
32220021210112101011
41002331101133000
54300034434111
6303245250304
736560251060
oct10275213700
92807715334
101123358656
11527119a92
12274263994
1314b96ba84
14a929d3a0
156894c021
hex42f517c0

1123358656 has 112 divisors (see below), whose sum is σ = 2687311872. Its totient is φ = 455731200.

The previous prime is 1123358647. The next prime is 1123358683. The reversal of 1123358656 is 6568533211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651876 + ... + 653596.

It is an arithmetic number, because the mean of its divisors is an integer number (23993856).

Almost surely, 21123358656 is an apocalyptic number.

1123358656 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 1123358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343655936).

1123358656 is an abundant number, since it is smaller than the sum of its proper divisors (1563953216).

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

1123358656 is a wasteful number, since it uses less digits than its factorization.

1123358656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1808 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 1123358656 is about 33516.5430198283. The cubic root of 1123358656 is about 1039.5358678482.

The spelling of 1123358656 in words is "one billion, one hundred twenty-three million, three hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 56 62 64 94 112 124 188 217 224 248 329 376 434 448 496 658 752 868 992 1316 1457 1504 1721 1736 1984 2632 2914 3008 3442 3472 5264 5828 6884 6944 10199 10528 11656 12047 13768 13888 20398 21056 23312 24094 27536 40796 46624 48188 53351 55072 80887 81592 93248 96376 106702 110144 161774 163184 192752 213404 323548 326368 373457 385504 426808 566209 647096 652736 746914 771008 853616 1132418 1294192 1493828 1707232 2264836 2507497 2588384 2987656 3414464 4529672 5014994 5176768 5975312 9059344 10029988 11950624 17552479 18118688 20059976 23901248 35104958 36237376 40119952 70209916 80239904 140419832 160479808 280839664 561679328 1123358656