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1011125856 = 253131097433
BaseRepresentation
bin111100010001001…
…000111001100000
32121110121111220210
4330101020321200
54032322011411
6244155534120
734025266536
oct7421107140
92543544823
101011125856
11479832904
1224275a340
13131634330
1498406156
155db7cca6
hex3c448e60

1011125856 has 96 divisors (see below), whose sum is σ = 2884986720. Its totient is φ = 308219904.

The previous prime is 1011125833. The next prime is 1011125917. The reversal of 1011125856 is 6585211101.

It is a tau number, because it is divible by the number of its divisors (96).

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, 132316 + ... + 139748.

It is an arithmetic number, because the mean of its divisors is an integer number (30051945).

Almost surely, 21011125856 is an apocalyptic number.

1011125856 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 1011125856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442493360).

1011125856 is an abundant number, since it is smaller than the sum of its proper divisors (1873860864).

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

1011125856 is a wasteful number, since it uses less digits than its factorization.

1011125856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 30.

The square root of 1011125856 is about 31798.2052323712. The cubic root of 1011125856 is about 1003.6949492018.

Adding to 1011125856 its reverse (6585211101), we get a palindrome (7596336957).

The spelling of 1011125856 in words is "one billion, eleven million, one hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 156 208 218 312 327 416 436 624 654 872 1248 1308 1417 1744 2616 2834 3488 4251 5232 5668 7433 8502 10464 11336 14866 17004 22299 22672 29732 34008 44598 45344 59464 68016 89196 96629 118928 136032 178392 193258 237856 289887 356784 386516 579774 713568 773032 810197 1159548 1546064 1620394 2319096 2430591 3092128 3240788 4638192 4861182 6481576 9276384 9722364 10532561 12963152 19444728 21065122 25926304 31597683 38889456 42130244 63195366 77778912 84260488 126390732 168520976 252781464 337041952 505562928 1011125856