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116359360 = 2651383337
BaseRepresentation
bin1101110111110…
…00000011000000
322002221200000221
412323320003000
5214241444420
615313552424
72612016055
oct673700300
9262850027
10116359360
115a755567
1232b75714
131b150ac0
141164d02c
15a336caa
hex6ef80c0

116359360 has 112 divisors (see below), whose sum is σ = 302885856. Its totient is φ = 42319872.

The previous prime is 116359351. The next prime is 116359367. The reversal of 116359360 is 63953611.

It is not an unprimeable number, because it can be changed into a prime (116359367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345112 + ... + 345448.

It is an arithmetic number, because the mean of its divisors is an integer number (2704338).

Almost surely, 2116359360 is an apocalyptic number.

116359360 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 116359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151442928).

116359360 is an abundant number, since it is smaller than the sum of its proper divisors (186526496).

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

116359360 is a wasteful number, since it uses less digits than its factorization.

116359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 116359360 is about 10786.9995828312. Note that the first 3 decimals coincide. The cubic root of 116359360 is about 488.2029971549.

The spelling of 116359360 in words is "one hundred sixteen million, three hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 83 104 130 160 166 208 260 320 332 337 415 416 520 664 674 830 832 1040 1079 1328 1348 1660 1685 2080 2158 2656 2696 3320 3370 4160 4316 4381 5312 5392 5395 6640 6740 8632 8762 10784 10790 13280 13480 17264 17524 21568 21580 21905 26560 26960 27971 34528 35048 43160 43810 53920 55942 69056 70096 86320 87620 107840 111884 139855 140192 172640 175240 223768 279710 280384 345280 350480 363623 447536 559420 700960 727246 895072 1118840 1401920 1454492 1790144 1818115 2237680 2908984 3636230 4475360 5817968 7272460 8950720 11635936 14544920 23271872 29089840 58179680 116359360