Search a number
-
+
120404142 = 23237347521
BaseRepresentation
bin1110010110100…
…11100010101110
322101120011102200
413023103202232
5221310413032
615540402330
72661263325
oct713234256
9271504380
10120404142
1161a68461
12343a63a6
131bc38b71
1411dc30bc
15a88547c
hex72d38ae

120404142 has 48 divisors (see below), whose sum is σ = 269214192. Its totient is φ = 38862720.

The previous prime is 120404129. The next prime is 120404147. The reversal of 120404142 is 241404021.

120404142 = 314 + 324 + ... + 574.

120404142 is a `hidden beast` number, since 120 + 404 + 142 = 666.

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 (120404147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230842 + ... + 231362.

It is an arithmetic number, because the mean of its divisors is an integer number (5608629).

Almost surely, 2120404142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120404142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134607096).

120404142 is an abundant number, since it is smaller than the sum of its proper divisors (148810050).

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

120404142 is a wasteful number, since it uses less digits than its factorization.

120404142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120404142 is about 10972.8821191153. The cubic root of 120404142 is about 493.7955165645.

Adding to 120404142 its reverse (241404021), we get a palindrome (361808163).

The spelling of 120404142 in words is "one hundred twenty million, four hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 347 521 666 694 1041 1042 1563 2082 3123 3126 4689 6246 9378 12839 19277 25678 38517 38554 57831 77034 115551 115662 173493 180787 231102 346986 361574 542361 1084722 1627083 3254166 6689119 13378238 20067357 40134714 60202071 120404142