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116387640 = 233253110429
BaseRepresentation
bin1101110111111…
…10111100111000
322010000002211100
412323332330320
5214243401030
615314331400
72612164365
oct673767470
9263002740
10116387640
115a774836
1232b89b60
131b160935
141165946c
15a340360
hex6efef38

116387640 has 96 divisors (see below), whose sum is σ = 390499200. Its totient is φ = 30032640.

The previous prime is 116387639. The next prime is 116387657. The reversal of 116387640 is 46783611.

116387640 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 8 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116387595 and 116387604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5946 + ... + 16374.

It is an arithmetic number, because the mean of its divisors is an integer number (4067700).

Almost surely, 2116387640 is an apocalyptic number.

116387640 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 116387640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195249600).

116387640 is an abundant number, since it is smaller than the sum of its proper divisors (274111560).

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

116387640 is a wasteful number, since it uses less digits than its factorization.

116387640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477 (or 10470 counting only the distinct ones).

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

The square root of 116387640 is about 10788.3103403638. The cubic root of 116387640 is about 488.2425449329.

The spelling of 116387640 in words is "one hundred sixteen million, three hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 10429 11160 20858 31287 41716 52145 62574 83432 93861 104290 125148 156435 187722 208580 250296 312870 323299 375444 417160 469305 625740 646598 750888 938610 969897 1251480 1293196 1616495 1877220 1939794 2586392 2909691 3232990 3754440 3879588 4849485 5819382 6465980 7759176 9698970 11638764 12931960 14548455 19397940 23277528 29096910 38795880 58193820 116387640