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120345540 = 223571012837
BaseRepresentation
bin1110010110001…
…01001111000100
322101110012001020
413023011033010
5221302024130
615535231140
72660630430
oct713051704
9271405036
10120345540
1161a28427
12343784b0
131bc182a3
1411da99c0
15a872e10
hex72c53c4

120345540 has 96 divisors (see below), whose sum is σ = 389055744. Its totient is φ = 27225600.

The previous prime is 120345523. The next prime is 120345553. The reversal of 120345540 is 45543021.

It is a self number, because there is not a number n which added to its sum of digits gives 120345540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41002 + ... + 43838.

It is an arithmetic number, because the mean of its divisors is an integer number (4052664).

Almost surely, 2120345540 is an apocalyptic number.

120345540 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 120345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194527872).

120345540 is an abundant number, since it is smaller than the sum of its proper divisors (268710204).

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

120345540 is a wasteful number, since it uses less digits than its factorization.

120345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 120345540 is about 10970.2114838320. The cubic root of 120345540 is about 493.7153916885.

Adding to 120345540 its reverse (45543021), we get a palindrome (165888561).

The spelling of 120345540 in words is "one hundred twenty million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 2837 3030 3535 4242 5674 6060 7070 8484 8511 10605 11348 14140 14185 17022 19859 21210 28370 34044 39718 42420 42555 56740 59577 79436 85110 99295 119154 170220 198590 238308 286537 297885 397180 573074 595770 859611 1146148 1191540 1432685 1719222 2005759 2865370 3438444 4011518 4298055 5730740 6017277 8023036 8596110 10028795 12034554 17192220 20057590 24069108 30086385 40115180 60172770 120345540