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1056861036 = 22327112913147
BaseRepresentation
bin111110111111100…
…110101101101100
32201122200002210100
4332333212231230
54131024023121
6252512111100
735122112340
oct7677465554
92648602710
101056861036
114a2630380
12255b35490
1313ac5847a
14a050d620
1562bb4026
hex3efe6b6c

1056861036 has 144 divisors (see below), whose sum is σ = 3445827840. Its totient is φ = 265023360.

The previous prime is 1056861031. The next prime is 1056861097. The reversal of 1056861036 is 6301686501.

It is a happy number.

1056861036 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 610 + 36 = 666.

It is a super-2 number, since 2×10568610362 = 2233910498829986592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1056861031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73815 + ... + 86961.

It is an arithmetic number, because the mean of its divisors is an integer number (23929360).

Almost surely, 21056861036 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 1056861036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722913920).

1056861036 is an abundant number, since it is smaller than the sum of its proper divisors (2388966804).

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

1056861036 is a wasteful number, since it uses less digits than its factorization.

1056861036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13199 counting only the distinct ones).

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

The square root of 1056861036 is about 32509.3991946944. The cubic root of 1056861036 is about 1018.6053719888.

The spelling of 1056861036 in words is "one billion, fifty-six million, eight hundred sixty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 609 638 693 812 924 957 1044 1218 1276 1386 1827 1914 2233 2436 2772 2871 3654 3828 4466 5742 6699 7308 8932 11484 13147 13398 20097 26294 26796 39441 40194 52588 78882 80388 92029 118323 144617 157764 184058 236646 276087 289234 368116 381263 433851 473292 552174 578468 762526 828261 867702 1012319 1104348 1143789 1301553 1525052 1656522 1735404 2024638 2287578 2603106 2668841 3036957 3313044 3431367 4049276 4193893 4575156 5206212 5337682 6073914 6862734 8006523 8387786 9110871 10675364 12147828 12581679 13725468 16013046 16775572 18221742 24019569 25163358 29357251 32026092 36443484 37745037 48039138 50326716 58714502 75490074 88071753 96078276 117429004 150980148 176143506 264215259 352287012 528430518 1056861036