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120531390 = 23574113999
BaseRepresentation
bin1110010111100…
…10100110111110
322101210121222120
413023302212332
5221324001030
615543223410
72662333320
oct713624676
9271717876
10120531390
1162045021
1234447b66
131bc81a65
1412017610
15a8ad010
hex72f29be

120531390 has 64 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 26876160.

The previous prime is 120531361. The next prime is 120531391. The reversal of 120531390 is 93135021.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120531390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120531391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2120531390 is an apocalyptic number.

120531390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120531390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

120531390 is an abundant number, since it is smaller than the sum of its proper divisors (218156610).

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

120531390 is a wasteful number, since it uses less digits than its factorization.

120531390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 120531390 is about 10978.6788822699. The cubic root of 120531390 is about 493.9694097226.

The spelling of 120531390 in words is "one hundred twenty million, five hundred thirty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 8610 13999 27998 41997 69995 83994 97993 139990 195986 209985 293979 419970 489965 573959 587958 979930 1147918 1469895 1721877 2869795 2939790 3443754 4017713 5739590 8035426 8609385 12053139 17218770 20088565 24106278 40177130 60265695 120531390