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1128983856 = 2437111323497
BaseRepresentation
bin100001101001010…
…1110110100110000
32220200101022200220
41003102232310300
54303004440411
6304010013040
736656130060
oct10322566460
92820338626
101128983856
1152a311310
12276117180
1314cb8b2b0
14a9d253a0
15691adb06
hex434aed30

1128983856 has 160 divisors (see below), whose sum is σ = 3916082688. Its totient is φ = 270673920.

The previous prime is 1128983837. The next prime is 1128983879. The reversal of 1128983856 is 6583898211.

It is a junction number, because it is equal to n+sod(n) for n = 1128983799 and 1128983808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36300 + ... + 59796.

Almost surely, 21128983856 is an apocalyptic number.

1128983856 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 1128983856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958041344).

1128983856 is an abundant number, since it is smaller than the sum of its proper divisors (2787098832).

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

1128983856 is a wasteful number, since it uses less digits than its factorization.

1128983856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23539 (or 23533 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 1128983856 is about 33600.3549981246. The cubic root of 1128983856 is about 1041.2681325508.

The spelling of 1128983856 in words is "one billion, one hundred twenty-eight million, nine hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 23497 24024 46994 48048 70491 93988 140982 164479 187976 258467 281964 305461 328958 375952 493437 516934 563928 610922 657916 775401 916383 986874 1033868 1127856 1221844 1315832 1550802 1809269 1832766 1973748 2067736 2138227 2443688 2631664 3101604 3360071 3618538 3665532 3947496 4135472 4276454 4887376 5427807 6203208 6414681 6720142 7237076 7331064 7894992 8552908 10080213 10855614 12406416 12829362 13440284 14474152 14662128 17105816 20160426 21711228 23520497 25658724 26880568 28948304 34211632 40320852 43422456 47040994 51317448 53761136 70561491 80641704 86844912 94081988 102634896 141122982 161283408 188163976 282245964 376327952 564491928 1128983856