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120680388 = 22337315307
BaseRepresentation
bin1110011000101…
…10111111000100
322102002012101000
413030112333010
5221343233023
615550333300
72663523603
oct714267704
9272065330
10120680388
1162136a64
12344ba230
131c00481a
1412055a3a
15a8dc243
hex7316fc4

120680388 has 48 divisors (see below), whose sum is σ = 317181760. Its totient is φ = 39673152.

The previous prime is 120680377. The next prime is 120680407. The reversal of 120680388 is 883086021.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 231 + ... + 15537.

Almost surely, 2120680388 is an apocalyptic number.

120680388 is a gapful number since it is divisible by the number (18) 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 120680388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158590880).

120680388 is an abundant number, since it is smaller than the sum of its proper divisors (196501372).

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

120680388 is a wasteful number, since it uses less digits than its factorization.

120680388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15393 (or 15385 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120680388 is about 10985.4625756042. The cubic root of 120680388 is about 494.1728702685.

The spelling of 120680388 in words is "one hundred twenty million, six hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 15307 30614 45921 61228 91842 137763 183684 275526 413289 551052 826578 1117411 1653156 2234822 3352233 4469644 6704466 10056699 13408932 20113398 30170097 40226796 60340194 120680388