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120531020 = 22517714993
BaseRepresentation
bin1110010111100…
…10100001001100
322101210121110212
413023302201030
5221323443040
615543221552
72662332251
oct713624114
9271717425
10120531020
1162044815
12344478b8
131bc8183c
1412017428
15a8acd65
hex72f284c

120531020 has 48 divisors (see below), whose sum is σ = 271833408. Its totient is φ = 44728320.

The previous prime is 120530999. The next prime is 120531029. The reversal of 120531020 is 20135021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120530986 and 120531004.

It is not an unprimeable number, because it can be changed into a prime (120531029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21644 + ... + 26636.

It is an arithmetic number, because the mean of its divisors is an integer number (5663196).

Almost surely, 2120531020 is an apocalyptic number.

120531020 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 120531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135916704).

120531020 is an abundant number, since it is smaller than the sum of its proper divisors (151302388).

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

120531020 is a wasteful number, since it uses less digits than its factorization.

120531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 120531020 is about 10978.6620314135. The cubic root of 120531020 is about 493.9689042696.

Adding to 120531020 its reverse (20135021), we get a palindrome (140666041).

The spelling of 120531020 in words is "one hundred twenty million, five hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 4993 6035 9986 12070 19972 24140 24965 49930 84881 99860 169762 339524 354503 424405 709006 848810 1418012 1697620 1772515 3545030 6026551 7090060 12053102 24106204 30132755 60265510 120531020