Search a number
-
+
460861016 = 237115991249
BaseRepresentation
bin11011011110000…
…010111001011000
31012010012011110112
4123132002321120
51420440023031
6113421503452
714264153060
oct3336027130
91163164415
10460861016
11217164780
1210a411b88
1374630435
14452c83a0
152a6d662b
hex1b782e58

460861016 has 64 divisors (see below), whose sum is σ = 1080000000. Its totient is φ = 179112960.

The previous prime is 460860989. The next prime is 460861019. The reversal of 460861016 is 610168064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460861019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368360 + ... + 369608.

It is an arithmetic number, because the mean of its divisors is an integer number (16875000).

Almost surely, 2460861016 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 460861016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540000000).

460861016 is an abundant number, since it is smaller than the sum of its proper divisors (619138984).

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

460861016 is a wasteful number, since it uses less digits than its factorization.

460861016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 460861016 is about 21467.6737444931. The cubic root of 460861016 is about 772.4255977889.

The spelling of 460861016 in words is "four hundred sixty million, eight hundred sixty-one thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 599 616 1198 1249 2396 2498 4193 4792 4996 6589 8386 8743 9992 13178 13739 16772 17486 26356 27478 33544 34972 46123 52712 54956 69944 92246 96173 109912 184492 192346 368984 384692 748151 769384 1496302 2992604 5237057 5985208 8229661 10474114 16459322 20948228 32918644 41896456 57607627 65837288 115215254 230430508 460861016