Search a number
-
+
466140900 = 223521553803
BaseRepresentation
bin11011110010001…
…011111011100100
31012111010102002210
4123302023323210
51423313002100
6114131003420
714360063241
oct3362137344
91174112083
10466140900
1121a140615
12110139570
137575b724
1445ca05c8
152adcac50
hex1bc8bee4

466140900 has 36 divisors (see below), whose sum is σ = 1348701872. Its totient is φ = 124304160.

The previous prime is 466140841. The next prime is 466140907. The reversal of 466140900 is 9041664.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (466140907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776602 + ... + 777201.

Almost surely, 2466140900 is an apocalyptic number.

It is an amenable number.

466140900 is an abundant number, since it is smaller than the sum of its proper divisors (882560972).

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

466140900 is a wasteful number, since it uses less digits than its factorization.

466140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553820 (or 1553813 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 466140900 is about 21590.2964314990. The cubic root of 466140900 is about 775.3641854094.

The spelling of 466140900 in words is "four hundred sixty-six million, one hundred forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1553803 3107606 4661409 6215212 7769015 9322818 15538030 18645636 23307045 31076060 38845075 46614090 77690150 93228180 116535225 155380300 233070450 466140900