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406232540 = 225721921817
BaseRepresentation
bin11000001101101…
…001110111011100
31001022101202021122
4120031221313130
51312443420130
6104150550112
713031630300
oct3015516734
91038352248
10406232540
1119934257a
12b4068338
13662143ac
143bd47d00
15259e52e5
hex18369ddc

406232540 has 72 divisors (see below), whose sum is σ = 1044645840. Its totient is φ = 131943168.

The previous prime is 406232513. The next prime is 406232573. The reversal of 406232540 is 45232604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7712 + ... + 29528.

It is an arithmetic number, because the mean of its divisors is an integer number (14508970).

Almost surely, 2406232540 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 406232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522322920).

406232540 is an abundant number, since it is smaller than the sum of its proper divisors (638413300).

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

406232540 is a wasteful number, since it uses less digits than its factorization.

406232540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21859 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 406232540 is about 20155.2112367993. The cubic root of 406232540 is about 740.6134066562.

The spelling of 406232540 in words is "four hundred six million, two hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 18620 21817 43634 87268 109085 152719 218170 305438 414523 436340 610876 763595 829046 1069033 1527190 1658092 2072615 2138066 2901661 3054380 4145230 4276132 5345165 5803322 8290460 10690330 11606644 14508305 20311627 21380660 29016610 40623254 58033220 81246508 101558135 203116270 406232540