Search a number
-
+
466860020 = 2251119671667
BaseRepresentation
bin11011110100111…
…011011111110100
31012112110221112212
4123310323133310
51424004010040
6114154232552
714366146634
oct3364733764
91175427485
10466860020
1121a591930
12110425758
1375950b43
144600a6c4
152aebdd65
hex1bd3b7f4

466860020 has 96 divisors (see below), whose sum is σ = 1143313920. Its totient is φ = 158336640.

The previous prime is 466860019. The next prime is 466860029. The reversal of 466860020 is 20068664.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466860029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279227 + ... + 280893.

It is an arithmetic number, because the mean of its divisors is an integer number (11909520).

Almost surely, 2466860020 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 466860020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571656960).

466860020 is an abundant number, since it is smaller than the sum of its proper divisors (676453900).

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

466860020 is a wasteful number, since it uses less digits than its factorization.

466860020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 466860020 is about 21606.9437912908. The cubic root of 466860020 is about 775.7627011161.

The spelling of 466860020 in words is "four hundred sixty-six million, eight hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 67 76 95 110 134 190 209 220 268 335 380 418 670 737 836 1045 1273 1340 1474 1667 2090 2546 2948 3334 3685 4180 5092 6365 6668 7370 8335 12730 14003 14740 16670 18337 25460 28006 31673 33340 36674 56012 63346 70015 73348 91685 111689 126692 140030 158365 183370 223378 280060 316730 348403 366740 446756 558445 633460 696806 1116890 1228579 1393612 1742015 2122091 2233780 2457158 3484030 4244182 4914316 6142895 6968060 8488364 10610455 12285790 21220910 23343001 24571580 42441820 46686002 93372004 116715005 233430010 466860020