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116246480 = 2457416183
BaseRepresentation
bin1101110110111…
…00011111010000
322002201221012012
412323130133100
5214224341410
615311322052
72611036010
oct673343720
9262657165
10116246480
115a688779
1232b20328
131b1115cc
141161dc40
15a313605
hex6edc7d0

116246480 has 160 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 37785600.

The previous prime is 116246477. The next prime is 116246509. The reversal of 116246480 is 84642611.

It is a super-2 number, since 2×1162464802 = 27026488224780800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400519 + ... + 1400601.

Almost surely, 2116246480 is an apocalyptic number.

116246480 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 116246480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

116246480 is an abundant number, since it is smaller than the sum of its proper divisors (209232688).

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

116246480 is a wasteful number, since it uses less digits than its factorization.

116246480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 116246480 is about 10781.7660890969. The cubic root of 116246480 is about 488.0450778031.

The spelling of 116246480 in words is "one hundred sixteen million, two hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 61 70 80 82 83 112 122 140 164 166 205 244 280 287 305 328 332 410 415 427 488 560 574 581 610 656 664 820 830 854 976 1148 1162 1220 1328 1435 1640 1660 1708 2135 2296 2324 2440 2501 2870 2905 3280 3320 3403 3416 4270 4592 4648 4880 5002 5063 5740 5810 6640 6806 6832 8540 9296 10004 10126 11480 11620 12505 13612 17015 17080 17507 20008 20252 22960 23240 23821 25010 25315 27224 34030 34160 35014 35441 40016 40504 46480 47642 50020 50630 54448 68060 70028 70882 81008 87535 95284 100040 101260 119105 136120 140056 141764 175070 177205 190568 200080 202520 207583 238210 272240 280112 283528 350140 354410 381136 405040 415166 476420 567056 700280 708820 830332 952840 1037915 1400560 1417640 1453081 1660664 1905680 2075830 2835280 2906162 3321328 4151660 5812324 7265405 8303320 11624648 14530810 16606640 23249296 29061620 58123240 116246480