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406113102 = 23417239617
BaseRepresentation
bin11000001101001…
…100101101001110
31001022011200110000
4120031030231032
51312431104402
6104144225130
713030622133
oct3015145516
91038150400
10406113102
1119927086a
12b400b1a6
13661a1c15
143bd1658a
15259bec1c
hex1834cb4e

406113102 has 80 divisors (see below), whose sum is σ = 969122880. Its totient is φ = 126669312.

The previous prime is 406113079. The next prime is 406113121. The reversal of 406113102 is 201311604.

It is a happy number.

406113102 is a `hidden beast` number, since 40 + 611 + 3 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 657898 + ... + 658514.

It is an arithmetic number, because the mean of its divisors is an integer number (12114036).

Almost surely, 2406113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484561440).

406113102 is an abundant number, since it is smaller than the sum of its proper divisors (563009778).

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

406113102 is a wasteful number, since it uses less digits than its factorization.

406113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 406113102 is about 20152.2480631814. The cubic root of 406113102 is about 740.5408160043.

Adding to 406113102 its reverse (201311604), we get a palindrome (607424706).

The spelling of 406113102 in words is "four hundred six million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 239 306 459 478 617 717 918 1234 1377 1434 1851 2151 2754 3702 4063 4302 5553 6453 8126 10489 11106 12189 12906 16659 19359 20978 24378 31467 33318 36567 38718 49977 62934 73134 94401 99954 109701 147463 188802 219402 283203 294926 329103 442389 566406 658206 849609 884778 1327167 1699218 2506871 2654334 3981501 5013742 7520613 7963002 11944503 15041226 22561839 23889006 45123678 67685517 135371034 203056551 406113102