Search a number
-
+
1133684688 = 243107307719
BaseRepresentation
bin100001110010010…
…1010011111010000
32221000020011000210
41003210222133100
54310210402223
6304254444120
740044106113
oct10344523720
92830204023
101133684688
11531a320a4
12277803640
13150b45b56
14aa7ca57a
15697db893
hex4392a7d0

1133684688 has 80 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 372624768.

The previous prime is 1133684639. The next prime is 1133684711. The reversal of 1133684688 is 8864863311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 1576393 + ... + 1577111.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 21133684688 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 1133684688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1133684688 is an abundant number, since it is smaller than the sum of its proper divisors (1836125232).

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

1133684688 is a wasteful number, since it uses less digits than its factorization.

1133684688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 1133684688 is about 33670.2344512182. The cubic root of 1133684688 is about 1042.7113325740.

The spelling of 1133684688 in words is "one billion, one hundred thirty-three million, six hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 307 321 428 614 642 719 856 921 1228 1284 1438 1712 1842 2157 2456 2568 2876 3684 4314 4912 5136 5752 7368 8628 11504 14736 17256 32849 34512 65698 76933 98547 131396 153866 197094 220733 230799 262792 307732 394188 441466 461598 525584 615464 662199 788376 882932 923196 1230928 1324398 1576752 1765864 1846392 2648796 3531728 3692784 5297592 10595184 23618431 47236862 70855293 94473724 141710586 188947448 283421172 377894896 566842344 1133684688