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120681568 = 2573714561
BaseRepresentation
bin1110011000101…
…11010001100000
322102002020222201
413030113101200
5221343302233
615550342544
72663530210
oct714272140
9272066881
10120681568
1162137937
12344baa54
131c005217
1412056240
15a8dc77d
hex7317460

120681568 has 48 divisors (see below), whose sum is σ = 278891424. Its totient is φ = 50319360.

The previous prime is 120681563. The next prime is 120681577. The reversal of 120681568 is 865186021.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120681563) 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, 1008 + ... + 15568.

It is an arithmetic number, because the mean of its divisors is an integer number (5810238).

Almost surely, 2120681568 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 120681568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139445712).

120681568 is an abundant number, since it is smaller than the sum of its proper divisors (158209856).

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

120681568 is a wasteful number, since it uses less digits than its factorization.

120681568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14615 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 120681568 is about 10985.5162828153. The cubic root of 120681568 is about 494.1744809199.

The spelling of 120681568 in words is "one hundred twenty million, six hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 14561 29122 58244 101927 116488 203854 232976 407708 465952 538757 815416 1077514 1630832 2155028 3261664 3771299 4310056 7542598 8620112 15085196 17240224 30170392 60340784 120681568