Search a number
-
+
1136937984 = 2103731383
BaseRepresentation
bin100001111000100…
…0100110000000000
32221020100102201020
41003301010300000
54312024003414
6304452305440
740113546000
oct10361046000
92836312636
101136937984
11533854376
12278912280
13151714890
14aadd6000
1569c307a9
hex43c44c00

1136937984 has 352 divisors, whose sum is σ = 3851635200. Its totient is φ = 296239104.

The previous prime is 1136937983. The next prime is 1136938007. The reversal of 1136937984 is 4897396311.

Its product of digits (979776) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (1136937983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13698007 + ... + 13698089.

Almost surely, 21136937984 is an apocalyptic number.

1136937984 is a gapful number since it is divisible by the number (14) 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 1136937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925817600).

1136937984 is an abundant number, since it is smaller than the sum of its proper divisors (2714697216).

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

1136937984 is an equidigital number, since it uses as much as digits as its factorization.

1136937984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 1136937984 is about 33718.5109991530. The cubic root of 1136937984 is about 1043.7077909760.

The spelling of 1136937984 in words is "one billion, one hundred thirty-six million, nine hundred thirty-seven thousand, nine hundred eighty-four".