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120330054 = 232132332207
BaseRepresentation
bin1110010110000…
…01011101000110
322101102101210200
413023001131012
5221301030204
615535031330
72660534325
oct713013506
9271371720
10120330054
1161a17829
123436b546
131bc11220
1411da40bc
15a86d539
hex72c1746

120330054 has 48 divisors (see below), whose sum is σ = 282102912. Its totient is φ = 36849024.

The previous prime is 120330053. The next prime is 120330071. The reversal of 120330054 is 450033021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120330053) 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, 53419 + ... + 55625.

It is an arithmetic number, because the mean of its divisors is an integer number (5877144).

Almost surely, 2120330054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120330054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141051456).

120330054 is an abundant number, since it is smaller than the sum of its proper divisors (161772858).

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

120330054 is a wasteful number, since it uses less digits than its factorization.

120330054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 120330054 is about 10969.5056406385. The cubic root of 120330054 is about 493.6942137688.

Adding to 120330054 its reverse (450033021), we get a palindrome (570363075).

The spelling of 120330054 in words is "one hundred twenty million, three hundred thirty thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 2207 3029 4194 4414 6058 6621 9087 13242 18174 19863 27261 28691 39726 54522 57382 86073 172146 258219 514231 516438 1028462 1542693 3085386 4628079 6685003 9256158 13370006 20055009 40110018 60165027 120330054