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116395080 = 23353167467
BaseRepresentation
bin1101111000000…
…00110001001000
322010000111000220
412330000301020
5214244120310
615314430040
72612225154
oct674006110
9263014026
10116395080
115a77a38a
1232b92320
131b164139
141165c064
15a342670
hex6f00c48

116395080 has 128 divisors (see below), whose sum is σ = 366612480. Its totient is φ = 29525760.

The previous prime is 116395061. The next prime is 116395093. The reversal of 116395080 is 80593611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249007 + ... + 249473.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2116395080 is an apocalyptic number.

116395080 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 116395080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

116395080 is an abundant number, since it is smaller than the sum of its proper divisors (250217400).

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

116395080 is a wasteful number, since it uses less digits than its factorization.

116395080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 116395080 is about 10788.6551525202. The cubic root of 116395080 is about 488.2529482344.

The spelling of 116395080 in words is "one hundred sixteen million, three hundred ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 465 467 536 620 670 744 804 930 934 1005 1240 1340 1401 1608 1860 1868 2010 2077 2335 2680 2802 3720 3736 4020 4154 4670 5604 6231 7005 8040 8308 9340 10385 11208 12462 14010 14477 16616 18680 20770 24924 28020 28954 31155 31289 41540 43431 49848 56040 57908 62310 62578 72385 83080 86862 93867 115816 124620 125156 144770 156445 173724 187734 217155 249240 250312 289540 312890 347448 375468 434310 469335 579080 625780 750936 868620 938670 969959 1251560 1737240 1877340 1939918 2909877 3754680 3879836 4849795 5819754 7759672 9699590 11639508 14549385 19399180 23279016 29098770 38798360 58197540 116395080