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116590720 = 275672719
BaseRepresentation
bin1101111001100…
…00100010000000
322010101102101211
412330300202000
5214321400340
615322535504
72614001431
oct674604200
9263342354
10116590720
115a8a3374
1233067594
131b2021bc
14116ad488
15a3805ea
hex6f30880

116590720 has 64 divisors (see below), whose sum is σ = 282988800. Its totient is φ = 45923328.

The previous prime is 116590693. The next prime is 116590723. The reversal of 116590720 is 27095611.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (116590723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41521 + ... + 44239.

It is an arithmetic number, because the mean of its divisors is an integer number (4421700).

Almost surely, 2116590720 is an apocalyptic number.

116590720 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 116590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141494400).

116590720 is an abundant number, since it is smaller than the sum of its proper divisors (166398080).

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

116590720 is an equidigital number, since it uses as much as digits as its factorization.

116590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 116590720 is about 10797.7182774881. The cubic root of 116590720 is about 488.5263513661.

The spelling of 116590720 in words is "one hundred sixteen million, five hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 1072 1340 2144 2680 2719 4288 5360 5438 8576 10720 10876 13595 21440 21752 27190 42880 43504 54380 87008 108760 174016 182173 217520 348032 364346 435040 728692 870080 910865 1457384 1740160 1821730 2914768 3643460 5829536 7286920 11659072 14573840 23318144 29147680 58295360 116590720