Search a number
-
+
1136496960 = 26335199661
BaseRepresentation
bin100001110111101…
…1001000101000000
32221012112000202000
41003233121011000
54311420400320
6304435024000
740110031134
oct10357310500
92835460660
101136496960
11533582a95
1227873b000
131515bbc11
14aad1d3c4
1569b94c90
hex43bd9140

1136496960 has 224 divisors, whose sum is σ = 4035552000. Its totient is φ = 301086720.

The previous prime is 1136496887. The next prime is 1136496997. The reversal of 1136496960 is 696946311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1719030 + ... + 1719690.

Almost surely, 21136496960 is an apocalyptic number.

1136496960 is a gapful number since it is divisible by the number (10) 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 1136496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017776000).

1136496960 is an abundant number, since it is smaller than the sum of its proper divisors (2899055040).

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

1136496960 is a wasteful number, since it uses less digits than its factorization.

1136496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1136496960 is about 33711.9705742634. The cubic root of 1136496960 is about 1043.5728203439.

The spelling of 1136496960 in words is "one billion, one hundred thirty-six million, four hundred ninety-six thousand, nine hundred sixty".