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116361360 = 2434517957
BaseRepresentation
bin1101110111110…
…00100010010000
322002221202210000
412323320202100
5214242030420
615314010000
72612024643
oct673704220
9262852700
10116361360
115a757015
1232b76900
131b15199b
141164da5a
15a337690
hex6ef8890

116361360 has 100 divisors (see below), whose sum is σ = 404162748. Its totient is φ = 31027968.

The previous prime is 116361319. The next prime is 116361367. The reversal of 116361360 is 63163611.

It is a happy number.

116361360 is a `hidden beast` number, since 11 + 636 + 13 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 23970816 = 9612^2 + 4896^2 .

It is a super-2 number, since 2×1163613602 = 27079932202099200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116361367) 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 19 ways as a sum of consecutive naturals, for example, 2499 + ... + 15458.

Almost surely, 2116361360 is an apocalyptic number.

116361360 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 116361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202081374).

116361360 is an abundant number, since it is smaller than the sum of its proper divisors (287801388).

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

116361360 is a wasteful number, since it uses less digits than its factorization.

116361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17982 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 116361360 is about 10787.0922866174. The cubic root of 116361360 is about 488.2057942380.

It can be divided in two parts, 11636 and 1360, that added together give a square (12996 = 1142).

The spelling of 116361360 in words is "one hundred sixteen million, three hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 17957 35914 53871 71828 89785 107742 143656 161613 179570 215484 269355 287312 323226 359140 430968 484839 538710 646452 718280 808065 861936 969678 1077420 1292904 1436560 1454517 1616130 1939356 2154840 2424195 2585808 2909034 3232260 3878712 4309680 4848390 5818068 6464520 7272585 7757424 9696780 11636136 12929040 14545170 19393560 23272272 29090340 38787120 58180680 116361360