Search a number
-
+
1137349080 = 2333572331211
BaseRepresentation
bin100001111001010…
…1001000111011000
32221021010022122000
41003302221013120
54312130132310
6304505201000
740120210350
oct10362510730
92837108560
101137349080
1153400521a
12278a90160
13151829a2a
14ab0a1b60
1569cb24c0
hex43ca91d8

1137349080 has 512 divisors, whose sum is σ = 4689100800. Its totient is φ = 239500800.

The previous prime is 1137349069. The next prime is 1137349123. The reversal of 1137349080 is 809437311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5390175 + ... + 5390385.

It is an arithmetic number, because the mean of its divisors is an integer number (9158400).

Almost surely, 21137349080 is an apocalyptic number.

1137349080 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 1137349080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344550400).

1137349080 is an abundant number, since it is smaller than the sum of its proper divisors (3551751720).

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

1137349080 is a wasteful number, since it uses less digits than its factorization.

1137349080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1137349080 is about 33724.6064469254. The cubic root of 1137349080 is about 1043.8335710392.

The spelling of 1137349080 in words is "one billion, one hundred thirty-seven million, three hundred forty-nine thousand, eighty".