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116912600 = 2352737261
BaseRepresentation
bin1101111011111…
…11000111011000
322010222202221022
412331333013120
5214412200400
615333502012
72616512030
oct675770730
9263882838
10116912600
115aaa3192
12331a1908
131b2b586c
14117548c0
15a3e5b85
hex6f7f1d8

116912600 has 144 divisors (see below), whose sum is σ = 324510480. Its totient is φ = 38361600.

The previous prime is 116912599. The next prime is 116912603. The reversal of 116912600 is 6219611.

It is a self number, because there is not a number n which added to its sum of digits gives 116912600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116912603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1916570 + ... + 1916630.

It is an arithmetic number, because the mean of its divisors is an integer number (2253545).

Almost surely, 2116912600 is an apocalyptic number.

116912600 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 116912600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162255240).

116912600 is an abundant number, since it is smaller than the sum of its proper divisors (207597880).

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

116912600 is a wasteful number, since it uses less digits than its factorization.

116912600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 116912600 is about 10812.6130051898. The cubic root of 116912600 is about 488.9755076858.

The spelling of 116912600 in words is "one hundred sixteen million, nine hundred twelve thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 61 70 74 100 122 140 148 175 185 200 244 259 280 296 305 350 370 427 488 518 610 700 740 854 925 1036 1220 1295 1369 1400 1480 1525 1708 1850 2072 2135 2257 2440 2590 2738 3050 3416 3700 4270 4514 5180 5476 6100 6475 6845 7400 8540 9028 9583 10360 10675 10952 11285 12200 12950 13690 15799 17080 18056 19166 21350 22570 25900 27380 31598 34225 38332 42700 45140 47915 51800 54760 56425 63196 68450 76664 78995 83509 85400 90280 95830 112850 126392 136900 157990 167018 191660 225700 239575 273800 315980 334036 383320 394975 417545 451400 479150 584563 631960 668072 789950 835090 958300 1169126 1579900 1670180 1916600 2087725 2338252 2922815 3159800 3340360 4175450 4676504 5845630 8350900 11691260 14614075 16701800 23382520 29228150 58456300 116912600