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1135104768 = 2832770381
BaseRepresentation
bin100001110101000…
…0101001100000000
32221002220022000100
41003222011030000
54311041323033
6304345122400
740062142230
oct10352051400
92832808010
101135104768
11532812016
12278189400
13151222335
14aaa79cc0
15699bc513
hex43a85300

1135104768 has 108 divisors (see below), whose sum is σ = 3740381008. Its totient is φ = 324311040.

The previous prime is 1135104749. The next prime is 1135104769. The reversal of 1135104768 is 8674015311.

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 (1135104769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19063 + ... + 51318.

Almost surely, 21135104768 is an apocalyptic number.

1135104768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1135104768 is an abundant number, since it is smaller than the sum of its proper divisors (2605276240).

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

1135104768 is an equidigital number, since it uses as much as digits as its factorization.

1135104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70410 (or 70393 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1135104768 is about 33691.3159137485. The cubic root of 1135104768 is about 1043.1465257947.

The spelling of 1135104768 in words is "one billion, one hundred thirty-five million, one hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 70381 140762 211143 281524 422286 492667 563048 633429 844572 985334 1126096 1266858 1478001 1689144 1970668 2252192 2533716 2956002 3378288 3941336 4434003 4504384 5067432 5912004 6756576 7882672 8868006 9008768 10134864 11824008 13513152 15765344 17736012 18017536 20269728 23648016 27026304 31530688 35472024 40539456 47296032 54052608 63061376 70944048 81078912 94592064 126122752 141888096 162157824 189184128 283776192 378368256 567552384 1135104768