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120530256 = 24371132611
BaseRepresentation
bin1110010111100…
…10010101010000
322101210120102120
413023302111100
5221323432011
615543214240
72662330110
oct713622520
9271716376
10120530256
1162044190
1234447380
131bc813a2
1412017040
15a8aca06
hex72f2550

120530256 has 80 divisors (see below), whose sum is σ = 388213248. Its totient is φ = 31305600.

The previous prime is 120530251. The next prime is 120530261. The reversal of 120530256 is 652035021.

It is an interprime number because it is at equal distance from previous prime (120530251) and next prime (120530261).

It is a super-2 number, since 2×1205302562 = 29055085222851072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120530251) 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, 12610 + ... + 20001.

Almost surely, 2120530256 is an apocalyptic number.

120530256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120530256 is an abundant number, since it is smaller than the sum of its proper divisors (267682992).

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

120530256 is a wasteful number, since it uses less digits than its factorization.

120530256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32640 (or 32634 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 120530256 is about 10978.6272365902. The cubic root of 120530256 is about 493.9678605741.

Adding to 120530256 its reverse (652035021), we get a palindrome (772565277).

It can be divided in two parts, 120530 and 256, that added together give a triangular number (120786 = T491).

The spelling of 120530256 in words is "one hundred twenty million, five hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 32611 65222 97833 130444 195666 228277 260888 358721 391332 456554 521776 684831 717442 782664 913108 1076163 1369662 1434884 1565328 1826216 2152326 2511047 2739324 2869768 3652432 4304652 5022094 5478648 5739536 7533141 8609304 10044188 10957296 15066282 17218608 20088376 30132564 40176752 60265128 120530256