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120685120 = 2653710193
BaseRepresentation
bin1110011000110…
…00001001000000
322102002102212021
413030120021000
5221343410440
615550411224
72663543443
oct714301100
9272072767
10120685120
116213a576
1234500b14
131c006a1a
141205765a
15a8dd84a
hex7318240

120685120 has 56 divisors (see below), whose sum is σ = 295177464. Its totient is φ = 46964736.

The previous prime is 120685109. The next prime is 120685121. The reversal of 120685120 is 21586021.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 75203584 = 6744^2 + 8672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120685121) 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, 6744 + ... + 16936.

Almost surely, 2120685120 is an apocalyptic number.

120685120 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 120685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147588732).

120685120 is an abundant number, since it is smaller than the sum of its proper divisors (174492344).

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

120685120 is a wasteful number, since it uses less digits than its factorization.

120685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 120685120 is about 10985.6779490389. The cubic root of 120685120 is about 494.1793291900.

Subtracting from 120685120 its reverse (21586021), we obtain a palindrome (99099099).

The spelling of 120685120 in words is "one hundred twenty million, six hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 10193 11840 20386 40772 50965 81544 101930 163088 203860 326176 377141 407720 652352 754282 815440 1508564 1630880 1885705 3017128 3261760 3771410 6034256 7542820 12068512 15085640 24137024 30171280 60342560 120685120