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120142530 = 232510113217
BaseRepresentation
bin1110010100100…
…11101011000010
322101001212120100
413022103223002
5221224030110
615531023230
72656123524
oct712235302
9271055510
10120142530
11618a9952
123429ab16
131bb76a71
1411d55a14
15a832bc0
hex7293ac2

120142530 has 48 divisors (see below), whose sum is σ = 315487224. Its totient is φ = 31718400.

The previous prime is 120142513. The next prime is 120142537. The reversal of 120142530 is 35241021.

120142530 is a `hidden beast` number, since 120 + 14 + 2 + 530 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114511401 + 5631129 = 10701^2 + 2373^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120142537) 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 23 ways as a sum of consecutive naturals, for example, 2482 + ... + 15698.

Almost surely, 2120142530 is an apocalyptic number.

120142530 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 120142530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743612).

120142530 is an abundant number, since it is smaller than the sum of its proper divisors (195344694).

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

120142530 is a wasteful number, since it uses less digits than its factorization.

120142530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120142530 is about 10960.9547941774. The cubic root of 120142530 is about 493.4376204941.

Adding to 120142530 its reverse (35241021), we get a palindrome (155383551).

The spelling of 120142530 in words is "one hundred twenty million, one hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 13217 26434 39651 66085 79302 118953 132170 198255 237906 396510 594765 1189530 1334917 2669834 4004751 6674585 8009502 12014253 13349170 20023755 24028506 40047510 60071265 120142530