Search a number
-
+
120405144 = 23312739503
BaseRepresentation
bin1110010110100…
…11110010011000
322101120012210210
413023103302120
5221310431034
615540411120
72661266256
oct713236230
9271505723
10120405144
1161a69192
12343a6aa0
131bc39462
1411dc35d6
15a8858e9
hex72d3c98

120405144 has 32 divisors (see below), whose sum is σ = 303390720. Its totient is φ = 39818016.

The previous prime is 120405143. The next prime is 120405167. The reversal of 120405144 is 441504021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120405144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120405143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16704 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (9480960).

Almost surely, 2120405144 is an apocalyptic number.

It is an amenable number.

120405144 is an abundant number, since it is smaller than the sum of its proper divisors (182985576).

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

120405144 is a wasteful number, since it uses less digits than its factorization.

120405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39639 (or 39635 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 120405144 is about 10972.9277770338. The cubic root of 120405144 is about 493.7968863450.

Adding to 120405144 its reverse (441504021), we get a palindrome (561909165).

The spelling of 120405144 in words is "one hundred twenty million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 39503 79006 118509 158012 237018 316024 474036 948072 5016881 10033762 15050643 20067524 30101286 40135048 60202572 120405144