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1094535104 = 26133142437
BaseRepresentation
bin100000100111101…
…0100011111000000
32211021120010220012
41001033110133000
54220200110404
6300335404052
736060252305
oct10117243700
92737503805
101094535104
11511922473
12266683628
131459b9410
14a55190ac
1566156a6e
hex413d47c0

1094535104 has 56 divisors (see below), whose sum is σ = 2414552448. Its totient is φ = 488862720.

The previous prime is 1094535103. The next prime is 1094535119. The reversal of 1094535104 is 4015354901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1094535103) 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 7 ways as a sum of consecutive naturals, for example, 4574 + ... + 47010.

It is an arithmetic number, because the mean of its divisors is an integer number (43117008).

Almost surely, 21094535104 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 1094535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207276224).

1094535104 is an abundant number, since it is smaller than the sum of its proper divisors (1320017344).

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

1094535104 is a wasteful number, since it uses less digits than its factorization.

1094535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42493 (or 42483 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 1094535104 is about 33083.7589158185. The cubic root of 1094535104 is about 1030.5677907573.

The spelling of 1094535104 in words is "one billion, ninety-four million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 6448 12896 25792 42437 84874 169748 339496 551681 678992 1103362 1315547 1357984 2206724 2631094 2715968 4413448 5262188 8826896 10524376 17102111 17653792 21048752 34204222 35307584 42097504 68408444 84195008 136816888 273633776 547267552 1094535104