Search a number
-
+
400206060 = 223253760091
BaseRepresentation
bin10111110110101…
…010100011101100
31000220001120111200
4113312222203230
51304423043220
6103413445500
712626460342
oct2766524354
91026046450
10400206060
111959a6811
12b2040890
1364bb4327
143b219992
1525204890
hex17daa8ec

400206060 has 72 divisors (see below), whose sum is σ = 1246788816. Its totient is φ = 103835520.

The previous prime is 400206019. The next prime is 400206067. The reversal of 400206060 is 60602004.

400206060 is a `hidden beast` number, since 40 + 0 + 20 + 606 + 0 = 666.

It is a super-3 number, since 3×4002060603 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (400206067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23386 + ... + 36705.

Almost surely, 2400206060 is an apocalyptic number.

It is an amenable number.

400206060 is an abundant number, since it is smaller than the sum of its proper divisors (846582756).

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

400206060 is a wasteful number, since it uses less digits than its factorization.

400206060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60143 (or 60138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400206060 is about 20005.1508367220. The cubic root of 400206060 is about 736.9327999301.

Adding to 400206060 its reverse (60602004), we get a palindrome (460808064).

The spelling of 400206060 in words is "four hundred million, two hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 60091 120182 180273 240364 300455 360546 540819 600910 721092 901365 1081638 1201820 1802730 2163276 2223367 2704095 3605460 4446734 5408190 6670101 8893468 10816380 11116835 13340202 20010303 22233670 26680404 33350505 40020606 44467340 66701010 80041212 100051515 133402020 200103030 400206060