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1095830112 = 253136771297
BaseRepresentation
bin100000101010001…
…0000101001100000
32211100222221022110
41001110100221200
54221013030422
6300423235320
736104254656
oct10124205140
92740887273
101095830112
11512627423
12266ba8b40
131460509b0
14a5774dd6
156631060c
hex41510a60

1095830112 has 96 divisors (see below), whose sum is σ = 3104795232. Its totient is φ = 336420864.

The previous prime is 1095830059. The next prime is 1095830123. The reversal of 1095830112 is 2110385901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1095830112.

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, 844248 + ... + 845544.

It is an arithmetic number, because the mean of its divisors is an integer number (32341617).

Almost surely, 21095830112 is an apocalyptic number.

1095830112 is a gapful number since it is divisible by the number (12) 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 1095830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552397616).

1095830112 is an abundant number, since it is smaller than the sum of its proper divisors (2008965120).

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

1095830112 is a wasteful number, since it uses less digits than its factorization.

1095830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1095830112 is about 33103.3247877007. The cubic root of 1095830112 is about 1030.9740720875.

The spelling of 1095830112 in words is "one billion, ninety-five million, eight hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 677 1248 1297 1354 2031 2594 2708 3891 4062 5188 5416 7782 8124 8801 10376 10832 15564 16248 16861 17602 20752 21664 26403 31128 32496 33722 35204 41504 50583 52806 62256 64992 67444 70408 101166 105612 124512 134888 140816 202332 211224 269776 281632 404664 422448 539552 809328 844896 878069 1618656 1756138 2634207 3512276 5268414 7024552 10536828 11414897 14049104 21073656 22829794 28098208 34244691 42147312 45659588 68489382 84294624 91319176 136978764 182638352 273957528 365276704 547915056 1095830112