Search a number
-
+
465804690 = 235134129131
BaseRepresentation
bin11011110000111…
…001110110010010
31012110111022220120
4123300321312102
51423221222230
6114115451110
714354163111
oct3360716622
91173438816
10465804690
11219a30a5a
1210bbb6a96
13756716a0
1445c13c78
152ad61310
hex1bc39d92

465804690 has 64 divisors (see below), whose sum is σ = 1233332352. Its totient is φ = 111859200.

The previous prime is 465804683. The next prime is 465804761. The reversal of 465804690 is 96408564.

It is a super-3 number, since 3×4658046903 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425 + ... + 30555.

It is an arithmetic number, because the mean of its divisors is an integer number (19270818).

Almost surely, 2465804690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465804690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616666176).

465804690 is an abundant number, since it is smaller than the sum of its proper divisors (767527662).

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

465804690 is a wasteful number, since it uses less digits than its factorization.

465804690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29195.

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 465804690 is about 21582.5088903028. The cubic root of 465804690 is about 775.1777268429.

The spelling of 465804690 in words is "four hundred sixty-five million, eight hundred four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 2665 3198 5330 7995 15990 29131 58262 87393 145655 174786 291310 378703 436965 757406 873930 1136109 1194371 1893515 2272218 2388742 3583113 3787030 5680545 5971855 7166226 11361090 11943710 15526823 17915565 31053646 35831130 46580469 77634115 93160938 155268230 232902345 465804690