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116666640 = 24325315227
BaseRepresentation
bin1101111010000…
…11000100010000
322010112021112200
412331003010100
5214331313030
615324323200
72614435656
oct675030420
9263467480
10116666640
115a945412
12330a3500
131b22a91c
14116ccdd6
15a397d60
hex6f43110

116666640 has 120 divisors (see below), whose sum is σ = 404521728. Its totient is φ = 30101760.

The previous prime is 116666617. The next prime is 116666657. The reversal of 116666640 is 46666611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1166666402 = 27222209777779200, which contains 22 as substring.

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 = 116666595 and 116666604.

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 23 ways as a sum of consecutive naturals, for example, 19707 + ... + 24933.

Almost surely, 2116666640 is an apocalyptic number.

116666640 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 116666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202260864).

116666640 is an abundant number, since it is smaller than the sum of its proper divisors (287855088).

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

116666640 is a wasteful number, since it uses less digits than its factorization.

116666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 116666640 is about 10801.2332629196. The cubic root of 116666640 is about 488.6323657303.

The spelling of 116666640 in words is "one hundred sixteen million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5227 5580 7440 10454 11160 15681 20908 22320 26135 31362 41816 47043 52270 62724 78405 83632 94086 104540 125448 156810 162037 188172 209080 235215 250896 313620 324074 376344 418160 470430 486111 627240 648148 752688 810185 940860 972222 1254480 1296296 1458333 1620370 1881720 1944444 2430555 2592592 2916666 3240740 3763440 3888888 4861110 5833332 6481480 7291665 7777776 9722220 11666664 12962960 14583330 19444440 23333328 29166660 38888880 58333320 116666640