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116834900 = 225271337347
BaseRepresentation
bin1101111011011…
…00001001010100
322010211211100112
412331230021110
5214402204100
615332102152
72616036350
oct675541124
9263754315
10116834900
115aa4a876
1233164958
131b2893a0
1411734460
15a3ccb35
hex6f6c254

116834900 has 144 divisors (see below), whose sum is σ = 321396096. Its totient is φ = 35873280.

The previous prime is 116834899. The next prime is 116834909. The reversal of 116834900 is 9438611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116834909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336527 + ... + 336873.

Almost surely, 2116834900 is an apocalyptic number.

116834900 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 116834900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160698048).

116834900 is an abundant number, since it is smaller than the sum of its proper divisors (204561196).

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

116834900 is a wasteful number, since it uses less digits than its factorization.

116834900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 116834900 is about 10809.0193819791. The cubic root of 116834900 is about 488.8671594643.

The spelling of 116834900 in words is "one hundred sixteen million, eight hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 37 50 52 65 70 74 91 100 130 140 148 175 182 185 259 260 325 347 350 364 370 455 481 518 650 694 700 740 910 925 962 1036 1295 1300 1388 1735 1820 1850 1924 2275 2405 2429 2590 3367 3470 3700 4511 4550 4810 4858 5180 6475 6734 6940 8675 9022 9100 9620 9716 12025 12145 12839 12950 13468 16835 17350 18044 22555 24050 24290 25678 25900 31577 33670 34700 45110 48100 48580 51356 60725 63154 64195 67340 84175 89873 90220 112775 121450 126308 128390 157885 166907 168350 179746 225550 242900 256780 315770 320975 333814 336700 359492 449365 451100 631540 641950 667628 789425 834535 898730 1168349 1283900 1578850 1669070 1797460 2246825 2336698 3157700 3338140 4172675 4493650 4673396 5841745 8345350 8987300 11683490 16690700 23366980 29208725 58417450 116834900