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1137116740 = 2251721131741
BaseRepresentation
bin100001111000111…
…0000011001000100
32221020200111220211
41003301300121010
54312100213430
6304500205204
740115222104
oct10361603104
92836614824
101137116740
11533966701
12278999804
13151778056
14ab041204
1569c6872a
hex43c70644

1137116740 has 72 divisors (see below), whose sum is σ = 2560593672. Its totient is φ = 424058880.

The previous prime is 1137116737. The next prime is 1137116779. The reversal of 1137116740 is 476117311.

It can be written as a sum of positive squares in 12 ways, for example, as 664402176 + 472714564 = 25776^2 + 21742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652270 + ... + 654010.

It is an arithmetic number, because the mean of its divisors is an integer number (35563801).

Almost surely, 21137116740 is an apocalyptic number.

1137116740 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 1137116740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280296836).

1137116740 is an abundant number, since it is smaller than the sum of its proper divisors (1423476932).

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

1137116740 is a wasteful number, since it uses less digits than its factorization.

1137116740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 1137116740 is about 33721.1616051405. The cubic root of 1137116740 is about 1043.7624873785.

The spelling of 1137116740 in words is "one billion, one hundred thirty-seven million, one hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 289 340 452 565 578 1130 1156 1445 1741 1921 2260 2890 3482 3842 5780 6964 7684 8705 9605 17410 19210 29597 32657 34820 38420 59194 65314 118388 130628 147985 163285 196733 295970 326570 393466 503149 591940 653140 786932 983665 1006298 1967330 2012596 2515745 3344461 3934660 5031490 6688922 10062980 13377844 16722305 33444610 56855837 66889220 113711674 227423348 284279185 568558370 1137116740