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120630330 = 23352291951
BaseRepresentation
bin1110011000010…
…10110000111010
322101222122201000
413030022300322
5221340132310
615545305430
72663224632
oct714126072
9271878630
10120630330
1162102397
1234495276
131bcb7ac2
14120416c2
15a8cc4c0
hex730ac3a

120630330 has 64 divisors (see below), whose sum is σ = 323251200. Its totient is φ = 32011200.

The previous prime is 120630329. The next prime is 120630347. The reversal of 120630330 is 33036021.

It is a happy number.

120630330 is a `hidden beast` number, since 1 + 2 + 0 + 630 + 3 + 30 = 666.

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

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 60855 + ... + 62805.

It is an arithmetic number, because the mean of its divisors is an integer number (5050800).

Almost surely, 2120630330 is an apocalyptic number.

120630330 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 120630330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161625600).

120630330 is an abundant number, since it is smaller than the sum of its proper divisors (202620870).

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

120630330 is a wasteful number, since it uses less digits than its factorization.

120630330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 120630330 is about 10983.1839645888. The cubic root of 120630330 is about 494.1045334905.

Adding to 120630330 its reverse (33036021), we get a palindrome (153666351).

The spelling of 120630330 in words is "one hundred twenty million, six hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 458 687 1145 1374 1951 2061 2290 3435 3902 4122 5853 6183 6870 9755 10305 11706 12366 17559 19510 20610 29265 30915 35118 52677 58530 61830 87795 105354 175590 263385 446779 526770 893558 1340337 2233895 2680674 4021011 4467790 6701685 8042022 12063033 13403370 20105055 24126066 40210110 60315165 120630330