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1094593136 = 247133124251
BaseRepresentation
bin100000100111110…
…0010101001110000
32211021200002111112
41001033202221300
54220203440021
6300340532452
736060613430
oct10117425160
92737602445
101094593136
1151196202a
122666b1128
13145a09960
14a55322c0
1566168d5b
hex413e2a70

1094593136 has 80 divisors (see below), whose sum is σ = 2694494208. Its totient is φ = 419040000.

The previous prime is 1094593133. The next prime is 1094593141. The reversal of 1094593136 is 6313954901.

It is a junction number, because it is equal to n+sod(n) for n = 1094593093 and 1094593102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1094593133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33011 + ... + 57261.

Almost surely, 21094593136 is an apocalyptic number.

1094593136 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 1094593136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347247104).

1094593136 is an abundant number, since it is smaller than the sum of its proper divisors (1599901072).

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

1094593136 is a wasteful number, since it uses less digits than its factorization.

1094593136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24310 (or 24304 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 1094593136 is about 33084.6359508458. The cubic root of 1094593136 is about 1030.5860039246.

The spelling of 1094593136 in words is "one billion, ninety-four million, five hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6448 11284 22568 24251 45136 48502 97004 169757 194008 315263 339514 388016 630526 679028 751781 1261052 1358056 1503562 2206841 2522104 2716112 3007124 4413682 5044208 5262467 6014248 8827364 9773153 10524934 12028496 17654728 19546306 21049868 35309456 39092612 42099736 68412071 78185224 84199472 136824142 156370448 273648284 547296568 1094593136