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120137052 = 22374134883
BaseRepresentation
bin1110010100100…
…10010101011100
322101001121001110
413022102111130
5221223341202
615530542020
72656101540
oct712222534
9271047043
10120137052
11618a5822
1234297910
131bb74419
1411d53a20
15a83126c
hex729255c

120137052 has 48 divisors (see below), whose sum is σ = 328188672. Its totient is φ = 33486720.

The previous prime is 120137021. The next prime is 120137077. The reversal of 120137052 is 250731021.

It is a super-2 number, since 2×1201370522 = 28865822526501408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 13998 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (6837264).

Almost surely, 2120137052 is an apocalyptic number.

120137052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120137052 is an abundant number, since it is smaller than the sum of its proper divisors (208051620).

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

120137052 is a wasteful number, since it uses less digits than its factorization.

120137052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938 (or 34936 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120137052 is about 10960.7049043390. The cubic root of 120137052 is about 493.4301208119.

Adding to 120137052 its reverse (250731021), we get a palindrome (370868073).

The spelling of 120137052 in words is "one hundred twenty million, one hundred thirty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 34883 69766 104649 139532 209298 244181 418596 488362 732543 976724 1430203 1465086 2860406 2930172 4290609 5720812 8581218 10011421 17162436 20022842 30034263 40045684 60068526 120137052