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1139343296 = 26721327947
BaseRepresentation
bin100001111101000…
…1111111111000000
32221101212122011212
41003322033333000
54313132441141
6305020025252
740143154400
oct10372177700
92841778155
101139343296
11535147533
12279692228
13152077640
14ab460800
156a0582eb
hex43e8ffc0

1139343296 has 84 divisors (see below), whose sum is σ = 2832418008. Its totient is φ = 450713088.

The previous prime is 1139343263. The next prime is 1139343311. The reversal of 1139343296 is 6923439311.

It is a super-2 number, since 2×11393432962 = 2596206292280287232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26795 + ... + 54741.

It is an arithmetic number, because the mean of its divisors is an integer number (33719262).

Almost surely, 21139343296 is an apocalyptic number.

1139343296 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 1139343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416209004).

1139343296 is an abundant number, since it is smaller than the sum of its proper divisors (1693074712).

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

1139343296 is a wasteful number, since it uses less digits than its factorization.

1139343296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27986 (or 27969 counting only the distinct ones).

The product of its digits is 104976, while the sum is 41.

The square root of 1139343296 is about 33754.1596844004. The cubic root of 1139343296 is about 1044.4432971099.

The spelling of 1139343296 in words is "one billion, one hundred thirty-nine million, three hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 10192 20384 27947 40768 55894 111788 195629 223576 363311 391258 447152 726622 782516 894304 1369403 1453244 1565032 1788608 2543177 2738806 2906488 3130064 5086354 5477612 5812976 6260128 10172708 10955224 11625952 12520256 17802239 20345416 21910448 23251904 35604478 40690832 43820896 71208956 81381664 87641792 142417912 162763328 284835824 569671648 1139343296