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116618320 = 24571383193
BaseRepresentation
bin1101111001101…
…11010001010000
322010102211021001
412330313101100
5214323241240
615323311344
72614145050
oct674672120
9263384231
10116618320
115a912085
123307b554
131b211930
14116b9560
15a38889a
hex6f37450

116618320 has 160 divisors (see below), whose sum is σ = 339478272. Its totient is φ = 36274176.

The previous prime is 116618291. The next prime is 116618323. The reversal of 116618320 is 23816611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116618323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604144 + ... + 604336.

Almost surely, 2116618320 is an apocalyptic number.

116618320 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 116618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169739136).

116618320 is an abundant number, since it is smaller than the sum of its proper divisors (222859952).

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

116618320 is a wasteful number, since it uses less digits than its factorization.

116618320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 116618320 is about 10798.9962496521. The cubic root of 116618320 is about 488.5648972112.

The spelling of 116618320 in words is "one hundred sixteen million, six hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 83 91 104 112 130 140 166 182 193 208 260 280 332 364 386 415 455 520 560 581 664 728 772 830 910 965 1040 1079 1162 1328 1351 1456 1544 1660 1820 1930 2158 2324 2509 2702 2905 3088 3320 3640 3860 4316 4648 5018 5395 5404 5810 6640 6755 7280 7553 7720 8632 9296 10036 10790 10808 11620 12545 13510 15106 15440 16019 17264 17563 20072 21580 21616 23240 25090 27020 30212 32038 35126 37765 40144 43160 46480 50180 54040 60424 64076 70252 75530 80095 86320 87815 100360 108080 112133 120848 128152 140504 151060 160190 175630 200720 208247 224266 256304 281008 302120 320380 351260 416494 448532 560665 604240 640760 702520 832988 897064 1041235 1121330 1281520 1405040 1457729 1665976 1794128 2082470 2242660 2915458 3331952 4164940 4485320 5830916 7288645 8329880 8970640 11661832 14577290 16659760 23323664 29154580 58309160 116618320