Search a number
-
+
116891520 = 2735232647
BaseRepresentation
bin1101111011110…
…01111110000000
322010221201000120
412331321332000
5214411012040
615333220240
72616363414
oct675717600
9263851016
10116891520
115aa89369
1233191680
131b2a90a5
141174ad44
15a3de7d0
hex6f79f80

116891520 has 128 divisors (see below), whose sum is σ = 388938240. Its totient is φ = 29804544.

The previous prime is 116891503. The next prime is 116891557. The reversal of 116891520 is 25198611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42837 + ... + 45483.

It is an arithmetic number, because the mean of its divisors is an integer number (3038580).

Almost surely, 2116891520 is an apocalyptic number.

116891520 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 116891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194469120).

116891520 is an abundant number, since it is smaller than the sum of its proper divisors (272046720).

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

116891520 is a wasteful number, since it uses less digits than its factorization.

116891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 116891520 is about 10811.6381737459. The cubic root of 116891520 is about 488.9461175737.

The spelling of 116891520 in words is "one hundred sixteen million, eight hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2647 2760 2944 3680 4416 5294 5520 7360 7941 8832 10588 11040 13235 14720 15882 21176 22080 26470 31764 39705 42352 44160 52940 60881 63528 79410 84704 105880 121762 127056 158820 169408 182643 211760 243524 254112 304405 317640 338816 365286 423520 487048 508224 608810 635280 730572 847040 913215 974096 1016448 1217620 1270560 1461144 1694080 1826430 1948192 2435240 2541120 2922288 3652860 3896384 4870480 5082240 5844576 7305720 7792768 9740960 11689152 14611440 19481920 23378304 29222880 38963840 58445760 116891520