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116647744 = 2617293697
BaseRepresentation
bin1101111001111…
…10011101000000
322010111022121211
412330332131000
5214330211434
615324055504
72614326613
oct674763500
9263438554
10116647744
115a9321a4
1233094594
131b222145
14116c617a
15a392464
hex6f3e740

116647744 has 56 divisors (see below), whose sum is σ = 253608840. Its totient is φ = 52985856.

The previous prime is 116647723. The next prime is 116647759. The reversal of 116647744 is 447746611.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 105678400 = 3312^2 + 10280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116647697 and 116647706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29704 + ... + 33400.

Almost surely, 2116647744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116647744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804420).

116647744 is an abundant number, since it is smaller than the sum of its proper divisors (136961096).

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

116647744 is a wasteful number, since it uses less digits than its factorization.

116647744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3745 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 116647744 is about 10800.3585125680. The cubic root of 116647744 is about 488.6059837365.

It can be divided in two parts, 11664 and 7744, that multiplied together give a square (90326016 = 95042).

The spelling of 116647744 in words is "one hundred sixteen million, six hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1856 1972 3697 3944 7394 7888 14788 15776 29576 31552 59152 62849 107213 118304 125698 214426 236608 251396 428852 502792 857704 1005584 1715408 1822621 2011168 3430816 3645242 4022336 6861632 7290484 14580968 29161936 58323872 116647744