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120931220 = 2256046561
BaseRepresentation
bin1110011010101…
…00001110010100
322102112221110002
413031110032110
5221424244340
615555550432
72665620104
oct715241624
9272487402
10120931220
1162298463
12345bb418
131c091a47
14120bd204
15a93b715
hex7354394

120931220 has 12 divisors (see below), whose sum is σ = 253955604. Its totient is φ = 48372480.

The previous prime is 120931211. The next prime is 120931241. The reversal of 120931220 is 22139021.

It can be written as a sum of positive squares in 2 ways, for example, as 50438404 + 70492816 = 7102^2 + 8396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6046561 = 120931220 / (1 + 2 + 0 + 9 + 3 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 120931192 and 120931201.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3023261 + ... + 3023300.

It is an arithmetic number, because the mean of its divisors is an integer number (21162967).

Almost surely, 2120931220 is an apocalyptic number.

120931220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120931220 is an abundant number, since it is smaller than the sum of its proper divisors (133024384).

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

120931220 is a wasteful number, since it uses less digits than its factorization.

120931220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046570 (or 6046568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 120931220 is about 10996.8731919578. The cubic root of 120931220 is about 494.5150097868.

The spelling of 120931220 in words is "one hundred twenty million, nine hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6046561 12093122 24186244 30232805 60465610 120931220