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1137681108 = 2232232395749
BaseRepresentation
bin100001111001111…
…1010001011010100
32221021202012002100
41003303322023110
54312221243413
6304520242100
740123062354
oct10363721324
92837665070
101137681108
11534211723
12279010330
13151914bb5
14ab14ab64
1569d2aa73
hex43cfa2d4

1137681108 has 72 divisors (see below), whose sum is σ = 3013920000. Its totient is φ = 361158336.

The previous prime is 1137681091. The next prime is 1137681109. The reversal of 1137681108 is 8011867311.

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 not an unprimeable number, because it can be changed into a prime (1137681109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195018 + ... + 200766.

It is an arithmetic number, because the mean of its divisors is an integer number (41860000).

Almost surely, 21137681108 is an apocalyptic number.

1137681108 is a gapful number since it is divisible by the number (18) 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 1137681108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506960000).

1137681108 is an abundant number, since it is smaller than the sum of its proper divisors (1876238892).

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

1137681108 is a wasteful number, since it uses less digits than its factorization.

1137681108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1137681108 is about 33729.5287248429. The cubic root of 1137681108 is about 1043.9351371161.

The spelling of 1137681108 in words is "one billion, one hundred thirty-seven million, six hundred eighty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 239 276 414 478 717 828 956 1434 2151 2868 4302 5497 5749 8604 10994 11498 16491 17247 21988 22996 32982 34494 49473 51741 65964 68988 98946 103482 132227 197892 206964 264454 396681 528908 793362 1190043 1374011 1586724 2380086 2748022 4122033 4760172 5496044 8244066 12366099 16488132 24732198 31602253 49464396 63204506 94806759 126409012 189613518 284420277 379227036 568840554 1137681108