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406003020 = 223519356143
BaseRepresentation
bin11000001100110…
…001110101001100
31001021222002102220
4120030301311030
51312414044040
6104142015340
713026653163
oct3014616514
91037862386
10406003020
111991a6095
12b3b77550
1366163a97
143bcc83da
152599c2d0
hex18331d4c

406003020 has 48 divisors (see below), whose sum is σ = 1196643840. Its totient is φ = 102568896.

The previous prime is 406003009. The next prime is 406003021. The reversal of 406003020 is 20300604.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (406003021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176932 + ... + 179211.

It is an arithmetic number, because the mean of its divisors is an integer number (24930080).

Almost surely, 2406003020 is an apocalyptic number.

It is an amenable number.

406003020 is an abundant number, since it is smaller than the sum of its proper divisors (790640820).

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

406003020 is a wasteful number, since it uses less digits than its factorization.

406003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356174 (or 356172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 406003020 is about 20149.5166195122. The cubic root of 406003020 is about 740.4738990293.

Adding to 406003020 its reverse (20300604), we get a palindrome (426303624).

The spelling of 406003020 in words is "four hundred six million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 356143 712286 1068429 1424572 1780715 2136858 3561430 4273716 5342145 6766717 7122860 10684290 13533434 20300151 21368580 27066868 33833585 40600302 67667170 81200604 101500755 135334340 203001510 406003020