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406410930 = 232529315023
BaseRepresentation
bin11000001110010…
…101011010110010
31001022201210222200
4120032111122302
51313020122210
6104154444030
713033302342
oct3016253262
91038653880
10406410930
11199454602
12b4133616
1366277653
143bd92d22
1525a2d0c0
hex183956b2

406410930 has 96 divisors (see below), whose sum is σ = 1128591360. Its totient is φ = 101243520.

The previous prime is 406410919. The next prime is 406410937. The reversal of 406410930 is 39014604.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406410894 and 406410903.

It is not an unprimeable number, because it can be changed into a prime (406410937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78399 + ... + 83421.

It is an arithmetic number, because the mean of its divisors is an integer number (11756160).

Almost surely, 2406410930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406410930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564295680).

406410930 is an abundant number, since it is smaller than the sum of its proper divisors (722180430).

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

406410930 is a wasteful number, since it uses less digits than its factorization.

406410930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406410930 is about 20159.6361574310. The cubic root of 406410930 is about 740.7217999845.

The spelling of 406410930 in words is "four hundred six million, four hundred ten thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 58 62 87 90 93 145 155 174 186 261 279 290 310 435 465 522 558 870 899 930 1305 1395 1798 2610 2697 2790 4495 5023 5394 8091 8990 10046 13485 15069 16182 25115 26970 30138 40455 45207 50230 75345 80910 90414 145667 150690 155713 226035 291334 311426 437001 452070 467139 728335 778565 874002 934278 1311003 1401417 1456670 1557130 2185005 2335695 2622006 2802834 4370010 4515677 4671390 6555015 7007085 9031354 13110030 13547031 14014170 22578385 27094062 40641093 45156770 67735155 81282186 135470310 203205465 406410930