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116266320 = 24335192833
BaseRepresentation
bin1101110111000…
…01010101010000
322002202221102000
412323201111100
5214231010240
615311554000
72611150602
oct673412520
9262687360
10116266320
115a6a1675
1232b2b900
131b11a651
1411627172
15a319430
hex6ee1550

116266320 has 160 divisors (see below), whose sum is σ = 421699200. Its totient is φ = 29362176.

The previous prime is 116266313. The next prime is 116266327. The reversal of 116266320 is 23662611.

116266320 is a `hidden beast` number, since 1 + 1 + 6 + 26 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116266313) and next prime (116266327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116266327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39624 + ... + 42456.

It is an arithmetic number, because the mean of its divisors is an integer number (2635620).

Almost surely, 2116266320 is an apocalyptic number.

116266320 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 116266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210849600).

116266320 is an abundant number, since it is smaller than the sum of its proper divisors (305432880).

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

116266320 is a wasteful number, since it uses less digits than its factorization.

116266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 116266320 is about 10782.6861217417. The cubic root of 116266320 is about 488.0728414066.

The spelling of 116266320 in words is "one hundred sixteen million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 2833 3420 4104 4560 5130 5666 6840 8208 8499 10260 11332 13680 14165 16998 20520 22664 25497 28330 33996 41040 42495 45328 50994 53827 56660 67992 76491 84990 101988 107654 113320 127485 135984 152982 161481 169980 203976 215308 226640 254970 269135 305964 322962 339960 382455 407952 430616 484443 509940 538270 611928 645924 679920 764910 807405 861232 968886 1019880 1076540 1223856 1291848 1453329 1529820 1614810 1937772 2039760 2153080 2422215 2583696 2906658 3059640 3229620 3875544 4306160 4844430 5813316 6119280 6459240 7266645 7751088 9688860 11626632 12918480 14533290 19377720 23253264 29066580 38755440 58133160 116266320