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406425630 = 2351317591039
BaseRepresentation
bin11000001110011…
…001000000011110
31001022202120011010
4120032121000132
51313021110010
6104155040050
713033363242
oct3016310036
91038676133
10406425630
11199464656
12b4140026
1366281250
143bd98422
1525a32620
hex1839901e

406425630 has 128 divisors (see below), whose sum is σ = 1132185600. Its totient is φ = 92473344.

The previous prime is 406425619. The next prime is 406425659. The reversal of 406425630 is 36524604.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390651 + ... + 391689.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2406425630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406425630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

406425630 is an abundant number, since it is smaller than the sum of its proper divisors (725759970).

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

406425630 is a wasteful number, since it uses less digits than its factorization.

406425630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 406425630 is about 20160.0007440476. Note that the first 3 decimals coincide. The cubic root of 406425630 is about 740.7307305836.

Subtracting from 406425630 its sum of digits (30), we obtain a square (406425600 = 201602).

The spelling of 406425630 in words is "four hundred six million, four hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 59 65 78 85 102 118 130 170 177 195 221 255 295 354 390 442 510 590 663 767 885 1003 1039 1105 1326 1534 1770 2006 2078 2210 2301 3009 3117 3315 3835 4602 5015 5195 6018 6234 6630 7670 10030 10390 11505 13039 13507 15045 15585 17663 23010 26078 27014 30090 31170 35326 39117 40521 52989 61301 65195 67535 78234 81042 88315 105978 122602 130390 135070 176630 183903 195585 202605 229619 264945 306505 367806 391170 405210 459238 529890 613010 688857 796913 919515 1042117 1148095 1377714 1593826 1839030 2084234 2296190 2390739 3126351 3444285 3984565 4781478 5210585 6252702 6888570 7969130 10421170 11953695 13547521 15631755 23907390 27095042 31263510 40642563 67737605 81285126 135475210 203212815 406425630