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117496680 = 233571371021
BaseRepresentation
bin1110000000011…
…01101101101000
322012002110010220
413000031231220
5220034343210
615354210040
72624463630
oct700155550
9265073126
10117496680
1160361aa4
1233423920
131b45b682
14118676c0
15a4adc70
hex700db68

117496680 has 128 divisors (see below), whose sum is σ = 406183680. Its totient is φ = 26634240.

The previous prime is 117496679. The next prime is 117496681. The reversal of 117496680 is 86694711.

It is an interprime number because it is at equal distance from previous prime (117496679) and next prime (117496681).

It is a super-2 number, since 2×1174966802 = 27610939622044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (117496681) 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, 114570 + ... + 115590.

It is an arithmetic number, because the mean of its divisors is an integer number (3173310).

Almost surely, 2117496680 is an apocalyptic number.

117496680 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 117496680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203091840).

117496680 is an abundant number, since it is smaller than the sum of its proper divisors (288687000).

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

117496680 is a wasteful number, since it uses less digits than its factorization.

117496680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 117496680 is about 10839.5885530771. The cubic root of 117496680 is about 489.7884412280.

The spelling of 117496680 in words is "one hundred seventeen million, four hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1021 1096 1370 1644 1918 2042 2055 2740 2877 3063 3288 3836 4084 4110 4795 5105 5480 5754 6126 7147 7672 8168 8220 9590 10210 11508 12252 14294 14385 15315 16440 19180 20420 21441 23016 24504 28588 28770 30630 35735 38360 40840 42882 57176 57540 61260 71470 85764 107205 115080 122520 139877 142940 171528 214410 279754 285880 419631 428820 559508 699385 839262 857640 979139 1119016 1398770 1678524 1958278 2098155 2797540 2937417 3357048 3916556 4196310 4895695 5595080 5874834 7833112 8392620 9791390 11749668 14687085 16785240 19582780 23499336 29374170 39165560 58748340 117496680