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120132234 = 23417181241
BaseRepresentation
bin1110010100100…
…01001010001010
322101001100110000
413022101022022
5221223212414
615530503430
72656051515
oct712211212
9271040400
10120132234
11618a2142
1234294b76
131bb72181
1411d51d7c
15a82eb09
hex729128a

120132234 has 80 divisors (see below), whose sum is σ = 287783496. Its totient is φ = 37324800.

The previous prime is 120132227. The next prime is 120132247. The reversal of 120132234 is 432231021.

It can be written as a sum of positive squares in 4 ways, for example, as 97121025 + 23011209 = 9855^2 + 4797^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 498354 + ... + 498594.

Almost surely, 2120132234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120132234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143891748).

120132234 is an abundant number, since it is smaller than the sum of its proper divisors (167651262).

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

120132234 is a wasteful number, since it uses less digits than its factorization.

120132234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120132234 is about 10960.4851170010. The cubic root of 120132234 is about 493.4235245175.

Adding to 120132234 its reverse (432231021), we get a palindrome (552363255).

The spelling of 120132234 in words is "one hundred twenty million, one hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 181 241 306 362 459 482 543 723 918 1086 1377 1446 1629 2169 2754 3077 3258 4097 4338 4887 6154 6507 8194 9231 9774 12291 13014 14661 18462 19521 24582 27693 29322 36873 39042 43621 55386 73746 83079 87242 110619 130863 166158 221238 249237 261726 331857 392589 498474 663714 741557 785178 1177767 1483114 2224671 2355534 3533301 4449342 6674013 7066602 13348026 20022039 40044078 60066117 120132234