Search a number
-
+
467123140 = 225119072341
BaseRepresentation
bin11011110101111…
…011101111000100
31012112222022111001
4123311323233010
51424040420030
6114204023044
714401324021
oct3365735704
91175868431
10467123140
1121a751590
12110531a84
1375a13833
1446078548
152b021cca
hex1bd7bbc4

467123140 has 48 divisors (see below), whose sum is σ = 1071774144. Its totient is φ = 169603200.

The previous prime is 467123117. The next prime is 467123141. The reversal of 467123140 is 41321764.

It is a junction number, because it is equal to n+sod(n) for n = 467123099 and 467123108.

It is not an unprimeable number, because it can be changed into a prime (467123141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198370 + ... + 200710.

It is an arithmetic number, because the mean of its divisors is an integer number (22328628).

Almost surely, 2467123140 is an apocalyptic number.

It is an amenable number.

467123140 is an abundant number, since it is smaller than the sum of its proper divisors (604651004).

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

467123140 is a wasteful number, since it uses less digits than its factorization.

467123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 467123140 is about 21613.0317169989. The cubic root of 467123140 is about 775.9084124203.

The spelling of 467123140 in words is "four hundred sixty-seven million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 907 1814 2341 3628 4535 4682 9070 9364 9977 11705 18140 19954 23410 25751 39908 46820 49885 51502 99770 103004 128755 199540 257510 515020 2123287 4246574 8493148 10616435 21232870 23356157 42465740 46712314 93424628 116780785 233561570 467123140