Search a number
-
+
120669384 = 23311835507
BaseRepresentation
bin1110011000101…
…00010011001000
322102001122021110
413030110103020
5221342410014
615550210320
72663446533
oct714242310
9272048243
10120669384
1162129770
12344b39a0
131bccc804
1412051a1a
15a8d8d59
hex73144c8

120669384 has 64 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 36119360.

The previous prime is 120669371. The next prime is 120669401. The reversal of 120669384 is 483966021.

It is a super-2 number, since 2×1206693842 = 29122200469878912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 19159 + ... + 24665.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2120669384 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 120669384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

120669384 is an abundant number, since it is smaller than the sum of its proper divisors (212454456).

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

120669384 is a wasteful number, since it uses less digits than its factorization.

120669384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 120669384 is about 10984.9617204613. The cubic root of 120669384 is about 494.1578497568.

The spelling of 120669384 in words is "one hundred twenty million, six hundred sixty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1826 1992 2739 3652 5478 5507 7304 10956 11014 16521 21912 22028 33042 44056 60577 66084 121154 132168 181731 242308 363462 457081 484616 726924 914162 1371243 1453848 1828324 2742486 3656648 5027891 5484972 10055782 10969944 15083673 20111564 30167346 40223128 60334692 120669384