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116441280 = 2633513477
BaseRepresentation
bin1101111000011…
…00000011000000
322010002211102000
412330030003000
5214302110110
615315424000
72612506644
oct674140300
9263084360
10116441280
115a80106a
1232bb5000
131b17c187
1411670c24
15a3511c0
hex6f0c0c0

116441280 has 112 divisors (see below), whose sum is σ = 410809440. Its totient is φ = 31048704.

The previous prime is 116441263. The next prime is 116441309. The reversal of 116441280 is 82144611.

It is a happy number.

116441280 is a `hidden beast` number, since 1 + 1 + 644 + 12 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1902 + ... + 15378.

Almost surely, 2116441280 is an apocalyptic number.

116441280 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 116441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205404720).

116441280 is an abundant number, since it is smaller than the sum of its proper divisors (294368160).

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

116441280 is a wasteful number, since it uses less digits than its factorization.

116441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13503 (or 13487 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 116441280 is about 10790.7960781399. The cubic root of 116441280 is about 488.3175394592.

Adding to 116441280 its reverse (82144611), we get a palindrome (198585891).

The spelling of 116441280 in words is "one hundred sixteen million, four hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 13477 26954 40431 53908 67385 80862 107816 121293 134770 161724 202155 215632 242586 269540 323448 363879 404310 431264 485172 539080 606465 646896 727758 808620 862528 970344 1078160 1212930 1293792 1455516 1617240 1819395 1940688 2156320 2425860 2587584 2911032 3234480 3638790 3881376 4312640 4851720 5822064 6468960 7277580 7762752 9703440 11644128 12937920 14555160 19406880 23288256 29110320 38813760 58220640 116441280