Search a number
-
+
116579840 = 2951331113
BaseRepresentation
bin1101111001011…
…01111000000000
322010100212110212
412330231320000
5214321023330
615322413252
72613624626
oct674557000
9263325425
10116579840
115a896183
1233061228
131b1ca270
14116a9516
15a37c295
hex6f2de00

116579840 has 160 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 41287680.

The previous prime is 116579831. The next prime is 116579843. The reversal of 116579840 is 48975611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116579843) 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, 1031624 + ... + 1031736.

Almost surely, 2116579840 is an apocalyptic number.

116579840 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 116579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

116579840 is an abundant number, since it is smaller than the sum of its proper divisors (196900096).

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

116579840 is a wasteful number, since it uses less digits than its factorization.

116579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 116579840 is about 10797.2144555899. The cubic root of 116579840 is about 488.5111548106.

The spelling of 116579840 in words is "one hundred sixteen million, five hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 113 124 128 130 155 160 208 226 248 256 260 310 320 403 416 452 496 512 520 565 620 640 806 832 904 992 1040 1130 1240 1280 1469 1612 1664 1808 1984 2015 2080 2260 2480 2560 2938 3224 3328 3503 3616 3968 4030 4160 4520 4960 5876 6448 6656 7006 7232 7345 7936 8060 8320 9040 9920 11752 12896 14012 14464 14690 15872 16120 16640 17515 18080 19840 23504 25792 28024 28928 29380 32240 33280 35030 36160 39680 45539 47008 51584 56048 57856 58760 64480 70060 72320 79360 91078 94016 103168 112096 117520 128960 140120 144640 182156 188032 206336 224192 227695 235040 257920 280240 289280 364312 376064 448384 455390 470080 515840 560480 728624 752128 896768 910780 940160 1031680 1120960 1457248 1793536 1821560 1880320 2241920 2914496 3643120 3760640 4483840 5828992 7286240 8967680 11657984 14572480 23315968 29144960 58289920 116579840