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116763480 = 233251719079
BaseRepresentation
bin1101111010110…
…10101101011000
322010201012101100
412331122231120
5214342412410
615330351400
72615321211
oct675325530
9263635340
10116763480
115aa01149
123312b560
131b262a22
1411716408
15a3b68c0
hex6f5ab58

116763480 has 96 divisors (see below), whose sum is σ = 401824800. Its totient is φ = 29303808.

The previous prime is 116763431. The next prime is 116763511. The reversal of 116763480 is 84367611.

116763480 is a `hidden beast` number, since 1 + 16 + 7 + 634 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3420 + ... + 15659.

It is an arithmetic number, because the mean of its divisors is an integer number (4185675).

Almost surely, 2116763480 is an apocalyptic number.

116763480 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 116763480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200912400).

116763480 is an abundant number, since it is smaller than the sum of its proper divisors (285061320).

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

116763480 is a wasteful number, since it uses less digits than its factorization.

116763480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19113 (or 19106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116763480 is about 10805.7151544912. The cubic root of 116763480 is about 488.7675259663.

The spelling of 116763480 in words is "one hundred sixteen million, seven hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 19079 38158 57237 76316 95395 114474 152632 171711 190790 228948 286185 324343 343422 381580 457896 572370 648686 686844 763160 858555 973029 1144740 1297372 1373688 1621715 1717110 1946058 2289480 2594744 2919087 3243430 3434220 3892116 4865145 5838174 6486860 6868440 7784232 9730290 11676348 12973720 14595435 19460580 23352696 29190870 38921160 58381740 116763480