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405016660 = 225237112401
BaseRepresentation
bin11000001001000…
…001000001010100
31001020002222102001
4120021001001110
51312141013120
6104104525044
713015404406
oct3011010124
91036088361
10405016660
11198692014
12b3780784
1365ba9b39
143bb0cb76
1525854e0a
hex18241054

405016660 has 48 divisors (see below), whose sum is σ = 900087552. Its totient is φ = 152768000.

The previous prime is 405016649. The next prime is 405016709. The reversal of 405016660 is 66610504.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26460 + ... + 38860.

It is an arithmetic number, because the mean of its divisors is an integer number (18751824).

Almost surely, 2405016660 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 405016660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450043776).

405016660 is an abundant number, since it is smaller than the sum of its proper divisors (495070892).

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

405016660 is a wasteful number, since it uses less digits than its factorization.

405016660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 405016660 is about 20125.0257142693. The cubic root of 405016660 is about 739.8737671213.

The spelling of 405016660 in words is "four hundred five million, sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 3266 6532 8165 12401 16330 24802 32660 49604 62005 124010 248020 285223 570446 880471 1140892 1426115 1760942 2852230 3521884 4402355 5704460 8804710 17609420 20250833 40501666 81003332 101254165 202508330 405016660