Search a number
-
+
406674040 = 23523219219
BaseRepresentation
bin11000001111010…
…101101001111000
31001100020011220111
4120033111221320
51313102032130
6104204234104
713035446413
oct3017255170
91040204814
10406674040
11199614253
12b423b934
136633a336
143c020b7a
1525a8102a
hex183d5a78

406674040 has 48 divisors (see below), whose sum is σ = 956579400. Its totient is φ = 155588928.

The previous prime is 406674031. The next prime is 406674049. The reversal of 406674040 is 40476604.

It is an interprime number because it is at equal distance from previous prime (406674031) and next prime (406674049).

It is a junction number, because it is equal to n+sod(n) for n = 406673993 and 406674011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406674049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11551 + ... + 30769.

Almost surely, 2406674040 is an apocalyptic number.

406674040 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 406674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478289700).

406674040 is an abundant number, since it is smaller than the sum of its proper divisors (549905360).

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

406674040 is a wasteful number, since it uses less digits than its factorization.

406674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19276 (or 19249 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 406674040 is about 20166.1607650043. The cubic root of 406674040 is about 740.8816130014.

The spelling of 406674040 in words is "four hundred six million, six hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 19219 21160 38438 76876 96095 153752 192190 384380 442037 768760 884074 1768148 2210185 3536296 4420370 8840740 10166851 17681480 20333702 40667404 50834255 81334808 101668510 203337020 406674040