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116808640 = 2651343653
BaseRepresentation
bin1101111011001…
…01101111000000
322010210111022221
412331211233000
5214400334030
615331340424
72615566654
oct675455700
9263714287
10116808640
115aa32073
1233151714
131b27a450
1411728a64
15a3c4e7a
hex6f65bc0

116808640 has 112 divisors (see below), whose sum is σ = 306982368. Its totient is φ = 42061824.

The previous prime is 116808619. The next prime is 116808647. The reversal of 116808640 is 46808611.

It is a junction number, because it is equal to n+sod(n) for n = 116808596 and 116808605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116808647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178554 + ... + 179206.

It is an arithmetic number, because the mean of its divisors is an integer number (2740914).

Almost surely, 2116808640 is an apocalyptic number.

116808640 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 116808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153491184).

116808640 is an abundant number, since it is smaller than the sum of its proper divisors (190173728).

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

116808640 is a wasteful number, since it uses less digits than its factorization.

116808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 116808640 is about 10807.8045874266. The cubic root of 116808640 is about 488.8305305303.

The spelling of 116808640 in words is "one hundred sixteen million, eight hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 130 160 172 208 215 260 320 344 416 430 520 559 653 688 832 860 1040 1118 1306 1376 1720 2080 2236 2612 2752 2795 3265 3440 4160 4472 5224 5590 6530 6880 8489 8944 10448 11180 13060 13760 16978 17888 20896 22360 26120 28079 33956 35776 41792 42445 44720 52240 56158 67912 84890 89440 104480 112316 135824 140395 169780 178880 208960 224632 271648 280790 339560 365027 449264 543296 561580 679120 730054 898528 1123160 1358240 1460108 1797056 1825135 2246320 2716480 2920216 3650270 4492640 5840432 7300540 8985280 11680864 14601080 23361728 29202160 58404320 116808640