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116979954 = 237213127241
BaseRepresentation
bin1101111100011…
…11100011110010
322011010012022220
412332033203302
5214421324304
615335141510
72620212300
oct676174362
9264105286
10116979954
1160039853
1233214896
131b30a410
1411771270
15a40aad9
hex6f8f8f2

116979954 has 96 divisors (see below), whose sum is σ = 296626176. Its totient is φ = 30481920.

The previous prime is 116979931. The next prime is 116979959. The reversal of 116979954 is 459979611.

It is a junction number, because it is equal to n+sod(n) for n = 116979897 and 116979906.

It is not an unprimeable number, because it can be changed into a prime (116979959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485274 + ... + 485514.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2116979954 is an apocalyptic number.

116979954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116979954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148313088).

116979954 is an abundant number, since it is smaller than the sum of its proper divisors (179646222).

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

116979954 is a wasteful number, since it uses less digits than its factorization.

116979954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its digits is 612360, while the sum is 51.

The square root of 116979954 is about 10815.7271600203. The cubic root of 116979954 is about 489.0693901638.

The spelling of 116979954 in words is "one hundred sixteen million, nine hundred seventy-nine thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 127 147 182 241 254 273 294 381 482 546 637 723 762 889 1274 1446 1651 1687 1778 1911 2667 3133 3302 3374 3822 4953 5061 5334 6223 6266 9399 9906 10122 11557 11809 12446 18669 18798 21931 23114 23618 30607 34671 35427 37338 43862 61214 65793 69342 70854 80899 91821 131586 153517 161798 183642 214249 242697 307034 397891 428498 460551 485394 642747 795782 921102 1193673 1285494 1499743 2387346 2785237 2999486 4499229 5570474 8355711 8998458 16711422 19496659 38993318 58489977 116979954