Search a number
-
+
405063930 = 235171734591
BaseRepresentation
bin11000001001001…
…100100011111010
31001020012101020210
4120021030203322
51312144021210
6104105531550
713015662255
oct3011144372
91036171223
10405063930
11198714587
12b37a3bb6
1365bc54cb
143bb2209c
1525863e20
hex1824c8fa

405063930 has 64 divisors (see below), whose sum is σ = 1035514368. Its totient is φ = 101053440.

The previous prime is 405063929. The next prime is 405063941. The reversal of 405063930 is 39360504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85935 + ... + 90525.

It is an arithmetic number, because the mean of its divisors is an integer number (16179912).

Almost surely, 2405063930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405063930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517757184).

405063930 is an abundant number, since it is smaller than the sum of its proper divisors (630450438).

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

405063930 is a wasteful number, since it uses less digits than its factorization.

405063930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 405063930 is about 20126.2000884419. The cubic root of 405063930 is about 739.9025498652.

The spelling of 405063930 in words is "four hundred five million, sixty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 173 255 346 510 519 865 1038 1730 2595 2941 4591 5190 5882 8823 9182 13773 14705 17646 22955 27546 29410 44115 45910 68865 78047 88230 137730 156094 234141 390235 468282 780470 794243 1170705 1588486 2341410 2382729 3971215 4765458 7942430 11913645 13502131 23827290 27004262 40506393 67510655 81012786 135021310 202531965 405063930