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116724480 = 2835113269
BaseRepresentation
bin1101111010100…
…01001100000000
322010122012212220
412331101030000
5214340140410
615325451040
72615066415
oct675211400
9263565786
10116724480
115a984914
1233110a80
131b24b052
141170610c
15a3aa070
hex6f51300

116724480 has 144 divisors (see below), whose sum is σ = 377485920. Its totient is φ = 30736384.

The previous prime is 116724469. The next prime is 116724511. The reversal of 116724480 is 84427611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433786 + ... + 434054.

It is an arithmetic number, because the mean of its divisors is an integer number (2621430).

Almost surely, 2116724480 is an apocalyptic number.

116724480 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 116724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742960).

116724480 is an abundant number, since it is smaller than the sum of its proper divisors (260761440).

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

116724480 is a wasteful number, since it uses less digits than its factorization.

116724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 116724480 is about 10803.9104031827. The cubic root of 116724480 is about 488.7131023966.

The spelling of 116724480 in words is "one hundred sixteen million, seven hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 269 320 339 384 452 480 538 565 640 678 768 807 904 960 1076 1130 1280 1345 1356 1614 1695 1808 1920 2152 2260 2690 2712 3228 3390 3616 3840 4035 4304 4520 5380 5424 6456 6780 7232 8070 8608 9040 10760 10848 12912 13560 14464 16140 17216 18080 21520 21696 25824 27120 28928 30397 32280 34432 36160 43040 43392 51648 54240 60794 64560 68864 72320 86080 86784 91191 103296 108480 121588 129120 144640 151985 172160 182382 206592 216960 243176 258240 303970 344320 364764 433920 455955 486352 516480 607940 729528 911910 972704 1032960 1215880 1459056 1823820 1945408 2431760 2918112 3647640 3890816 4863520 5836224 7295280 7781632 9727040 11672448 14590560 19454080 23344896 29181120 38908160 58362240 116724480