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1137080 = 235731131
BaseRepresentation
bin100010101100110111000
32010202210002
410111212320
5242341310
640212132
712444050
oct4254670
92122702
101137080
1170733a
1246a048
1330a739
14218560
15176da5
hex1159b8

1137080 has 64 divisors (see below), whose sum is σ = 3041280. Its totient is φ = 374400.

The previous prime is 1137067. The next prime is 1137091. The reversal of 1137080 is 807311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8615 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (47520).

21137080 is an apocalyptic number.

1137080 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 1137080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520640).

1137080 is an abundant number, since it is smaller than the sum of its proper divisors (1904200).

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

1137080 is a wasteful number, since it uses less digits than its factorization.

1137080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1137080 is about 1066.3395331694. The cubic root of 1137080 is about 104.3751246009.

The spelling of 1137080 in words is "one million, one hundred thirty-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 131 140 155 217 248 262 280 310 434 524 620 655 868 917 1048 1085 1240 1310 1736 1834 2170 2620 3668 4061 4340 4585 5240 7336 8122 8680 9170 16244 18340 20305 28427 32488 36680 40610 56854 81220 113708 142135 162440 227416 284270 568540 1137080