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466465140 = 2232524110753
BaseRepresentation
bin11011110011011…
…011000101110100
31012111201212212200
4123303123011310
51423403341030
6114141544500
714362613451
oct3363330564
91174655780
10466465140
1121a342189
12110275130
137584319b
1445d46828
152ae41d60
hex1bcdb174

466465140 has 72 divisors (see below), whose sum is σ = 1420947528. Its totient is φ = 123863040.

The previous prime is 466465133. The next prime is 466465141. The reversal of 466465140 is 41564664.

466465140 is a `hidden beast` number, since 4 + 6 + 646 + 5 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207705744 + 258759396 = 14412^2 + 16086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466465095 and 466465104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466465141) 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 23 ways as a sum of consecutive naturals, for example, 38004 + ... + 48756.

Almost surely, 2466465140 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 466465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710473764).

466465140 is an abundant number, since it is smaller than the sum of its proper divisors (954482388).

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

466465140 is a wasteful number, since it uses less digits than its factorization.

466465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 466465140 is about 21597.8040550423. The cubic root of 466465140 is about 775.5439206319.

The spelling of 466465140 in words is "four hundred sixty-six million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10753 10845 14460 21506 21690 32259 43012 43380 53765 64518 96777 107530 129036 161295 193554 215060 322590 387108 483885 645180 967770 1935540 2591473 5182946 7774419 10365892 12957365 15548838 23323257 25914730 31097676 38872095 46646514 51829460 77744190 93293028 116616285 155488380 233232570 466465140