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1114774056 = 233311795939
BaseRepresentation
bin100001001110010…
…0001101000101000
32212200122101112000
41002130201220220
54240340232211
6302341251000
736424265064
oct10234415050
92780571460
101114774056
11522296280
12271403a60
13149c54526
14a80a6aa4
1567d03656
hex42721a28

1114774056 has 128 divisors (see below), whose sum is σ = 3421440000. Its totient is φ = 333478080.

The previous prime is 1114774033. The next prime is 1114774091. The reversal of 1114774056 is 6504774111.

It is a super-2 number, since 2×11147740562 = 2485442391861382272, which contains 22 as substring.

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 1114774056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184735 + ... + 190673.

It is an arithmetic number, because the mean of its divisors is an integer number (26730000).

Almost surely, 21114774056 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 1114774056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710720000).

1114774056 is an abundant number, since it is smaller than the sum of its proper divisors (2306665944).

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

1114774056 is a wasteful number, since it uses less digits than its factorization.

1114774056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1114774056 is about 33388.2322982215. The cubic root of 1114774056 is about 1036.8810823720.

The spelling of 1114774056 in words is "one billion, one hundred fourteen million, seven hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 88 99 108 132 158 198 216 237 264 297 316 396 474 594 632 711 792 869 948 1188 1422 1738 1896 2133 2376 2607 2844 3476 4266 5214 5688 5939 6952 7821 8532 10428 11878 15642 17064 17817 20856 23463 23756 31284 35634 46926 47512 53451 62568 65329 71268 93852 106902 130658 142536 160353 187704 195987 213804 261316 320706 391974 427608 469181 522632 587961 641412 783948 938362 1175922 1282824 1407543 1567896 1763883 1876724 2351844 2815086 3527766 3753448 4222629 4703688 5160991 5630172 7055532 8445258 10321982 11260344 12667887 14111064 15482973 16890516 20643964 25335774 30965946 33781032 41287928 46448919 50671548 61931892 92897838 101343096 123863784 139346757 185795676 278693514 371591352 557387028 1114774056