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116934720 = 2635717401
BaseRepresentation
bin1101111100001…
…00100001000000
322011000220021120
412332010201000
5214413402340
615334152240
72616633360
oct676044100
9264026246
10116934720
1160008871
12331b2680
131b2c2956
141175c9a0
15a3ec4d0
hex6f84840

116934720 has 112 divisors (see below), whose sum is σ = 424330368. Its totient is φ = 26726400.

The previous prime is 116934709. The next prime is 116934749. The reversal of 116934720 is 27439611.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1981 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (3788664).

Almost surely, 2116934720 is an apocalyptic number.

116934720 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 116934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212165184).

116934720 is an abundant number, since it is smaller than the sum of its proper divisors (307395648).

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

116934720 is a wasteful number, since it uses less digits than its factorization.

116934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17428 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 116934720 is about 10813.6358362948. The cubic root of 116934720 is about 489.0063439862.

The spelling of 116934720 in words is "one hundred sixteen million, nine hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 17401 34802 52203 69604 87005 104406 121807 139208 174010 208812 243614 261015 278416 348020 365421 417624 487228 522030 556832 609035 696040 730842 835248 974456 1044060 1113664 1218070 1392080 1461684 1670496 1827105 1948912 2088120 2436140 2784160 2923368 3340992 3654210 3897824 4176240 4872280 5568320 5846736 7308420 7795648 8352480 9744560 11693472 14616840 16704960 19489120 23386944 29233680 38978240 58467360 116934720