Search a number
-
+
120142432 = 2523239683
BaseRepresentation
bin1110010100100…
…11101001100000
322101001212102201
413022103221200
5221224024212
615531022544
72656123324
oct712235140
9271055381
10120142432
11618a9873
123429aa54
131bb769c7
1411d55984
15a832b57
hex7293a60

120142432 has 48 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 57135232.

The previous prime is 120142427. The next prime is 120142493. The reversal of 120142432 is 234241021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175563 + ... + 176245.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2120142432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

120142432 is an abundant number, since it is smaller than the sum of its proper divisors (128067488).

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

120142432 is a wasteful number, since it uses less digits than its factorization.

120142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 120142432 is about 10960.9503237630. The cubic root of 120142432 is about 493.4374863287.

Adding to 120142432 its reverse (234241021), we get a palindrome (354383453).

The spelling of 120142432 in words is "one hundred twenty million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 239 368 478 683 736 956 1366 1912 2732 3824 5464 5497 7648 10928 10994 15709 21856 21988 31418 43976 62836 87952 125672 163237 175904 251344 326474 502688 652948 1305896 2611792 3754451 5223584 7508902 15017804 30035608 60071216 120142432