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116020160 = 2653741239
BaseRepresentation
bin1101110101001…
…01001111000000
322002022102201222
412322211033000
5214200121120
615302414212
72606104124
oct672451700
9262272658
10116020160
115a543733
1232a31368
131b0625a9
14115a1584
15a2bb525
hex6ea53c0

116020160 has 112 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 43868160.

The previous prime is 116020153. The next prime is 116020169. The reversal of 116020160 is 61020611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116020169) 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 15 ways as a sum of consecutive naturals, for example, 485321 + ... + 485559.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2116020160 is an apocalyptic number.

116020160 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 116020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

116020160 is an abundant number, since it is smaller than the sum of its proper divisors (175856320).

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

116020160 is a wasteful number, since it uses less digits than its factorization.

116020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 116020160 is about 10771.2654781135. The cubic root of 116020160 is about 487.7281474303.

Adding to 116020160 its reverse (61020611), we get a palindrome (177040771).

The spelling of 116020160 in words is "one hundred sixteen million, twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 41 64 74 80 82 148 160 164 185 205 239 296 320 328 370 410 478 592 656 740 820 956 1184 1195 1312 1480 1517 1640 1912 2368 2390 2624 2960 3034 3280 3824 4780 5920 6068 6560 7585 7648 8843 9560 9799 11840 12136 13120 15170 15296 17686 19120 19598 24272 30340 35372 38240 39196 44215 48544 48995 60680 70744 76480 78392 88430 97088 97990 121360 141488 156784 176860 195980 242720 282976 313568 353720 362563 391960 485440 565952 627136 707440 725126 783920 1414880 1450252 1567840 1812815 2829760 2900504 3135680 3625630 5801008 7251260 11602016 14502520 23204032 29005040 58010080 116020160