Search a number
-
+
694140096 = 26313318971
BaseRepresentation
bin101001010111111…
…011110011000000
31210101010222012110
4221113323303000
52410144440341
6152513455320
723126044026
oct5127736300
91711128173
10694140096
11326907801
12174571540
13b0a6a0b0
1468290716
1540e16216
hex295fbcc0

694140096 has 112 divisors (see below), whose sum is σ = 2041883648. Its totient is φ = 206668800.

The previous prime is 694140089. The next prime is 694140101. The reversal of 694140096 is 690041496.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 72891 + ... + 81861.

It is an arithmetic number, because the mean of its divisors is an integer number (18231104).

Almost surely, 2694140096 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 694140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020941824).

694140096 is an abundant number, since it is smaller than the sum of its proper divisors (1347743552).

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

694140096 is a wasteful number, since it uses less digits than its factorization.

694140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 694140096 is about 26346.5385961800. The cubic root of 694140096 is about 885.4194213556.

It can be divided in two parts, 6941400 and 96, that added together give a palindrome (6941496).

The spelling of 694140096 in words is "six hundred ninety-four million, one hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 8971 9672 12896 17942 19344 25792 26913 35884 38688 53826 71768 77376 107652 116623 143536 215304 233246 278101 287072 349869 430608 466492 556202 574144 699738 834303 861216 932984 1112404 1399476 1668606 1722432 1865968 2224808 2798952 3337212 3615313 3731936 4449616 5597904 6674424 7230626 7463872 8899232 10845939 11195808 13348848 14461252 17798464 21691878 22391616 26697696 28922504 43383756 53395392 57845008 86767512 115690016 173535024 231380032 347070048 694140096