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406008120 = 233572292381
BaseRepresentation
bin11000001100110…
…011000100111000
31001021222100102210
4120030303010320
51312414224440
6104142055120
713030004100
oct3014630470
91037870383
10406008120
111991a9a01
12b3b7a4a0
13661661bb
143bcca200
152599da80
hex18333138

406008120 has 192 divisors, whose sum is σ = 1466359200. Its totient is φ = 89564160.

The previous prime is 406008077. The next prime is 406008139. The reversal of 406008120 is 21800604.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169330 + ... + 171710.

Almost surely, 2406008120 is an apocalyptic number.

406008120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733179600).

406008120 is an abundant number, since it is smaller than the sum of its proper divisors (1060351080).

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

406008120 is a wasteful number, since it uses less digits than its factorization.

406008120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 406008120 is about 20149.6431730192. The cubic root of 406008120 is about 740.4769994997.

Adding to 406008120 its reverse (21800604), we get a palindrome (427808724).

The spelling of 406008120 in words is "four hundred six million, eight thousand, one hundred twenty".