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116492480 = 2651341683
BaseRepresentation
bin1101111000110…
…00100011000000
322010012102122022
412330120203000
5214310224410
615320501012
72613112136
oct674304300
9263172568
10116492480
115a836585
123301a768
131b199580
1411685756
15a361455
hex6f188c0

116492480 has 112 divisors (see below), whose sum is σ = 306470304. Its totient is φ = 41902080.

The previous prime is 116492479. The next prime is 116492503. The reversal of 116492480 is 84294611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 116492480.

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, 170219 + ... + 170901.

It is an arithmetic number, because the mean of its divisors is an integer number (2736342).

Almost surely, 2116492480 is an apocalyptic number.

116492480 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 116492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152).

116492480 is an abundant number, since it is smaller than the sum of its proper divisors (189977824).

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

116492480 is a wasteful number, since it uses less digits than its factorization.

116492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 116492480 is about 10793.1682095666. The cubic root of 116492480 is about 488.3891011208.

The spelling of 116492480 in words is "one hundred sixteen million, four hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 130 160 164 205 208 260 320 328 410 416 520 533 656 683 820 832 1040 1066 1312 1366 1640 2080 2132 2624 2665 2732 3280 3415 4160 4264 5330 5464 6560 6830 8528 8879 10660 10928 13120 13660 17056 17758 21320 21856 27320 28003 34112 35516 42640 43712 44395 54640 56006 71032 85280 88790 109280 112012 140015 142064 170560 177580 218560 224024 280030 284128 355160 364039 448048 560060 568256 710320 728078 896096 1120120 1420640 1456156 1792192 1820195 2240240 2841280 2912312 3640390 4480480 5824624 7280780 8960960 11649248 14561560 23298496 29123120 58246240 116492480