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413674060 = 22537691809
BaseRepresentation
bin11000101010000…
…010101001001100
31001211101211010111
4120222002221030
51321400032220
6105014245404
713152112552
oct3052025114
91054354114
10413674060
111a2565498
12b6656864
136791b567
143cd23bd2
15264b515a
hex18a82a4c

413674060 has 48 divisors (see below), whose sum is σ = 894589920. Its totient is φ = 160565760.

The previous prime is 413674043. The next prime is 413674109. The reversal of 413674060 is 60476314.

It is a super-2 number, since 2×4136740602 = 342252455833767200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510936 + ... + 511744.

It is an arithmetic number, because the mean of its divisors is an integer number (18637290).

Almost surely, 2413674060 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 413674060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447294960).

413674060 is an abundant number, since it is smaller than the sum of its proper divisors (480915860).

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

413674060 is a wasteful number, since it uses less digits than its factorization.

413674060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 413674060 is about 20338.9788337566. The cubic root of 413674060 is about 745.1083487297.

The spelling of 413674060 in words is "four hundred thirteen million, six hundred seventy-four thousand, sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 691 740 809 1382 1618 2764 3236 3455 4045 6910 8090 13820 16180 25567 29933 51134 59866 102268 119732 127835 149665 255670 299330 511340 559019 598660 1118038 2236076 2795095 5590190 11180380 20683703 41367406 82734812 103418515 206837030 413674060