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413325840 = 24351722191
BaseRepresentation
bin11000101000101…
…101101000010000
31001210202010110110
4120220231220100
51321302411330
6105003001320
713146132414
oct3050555020
91053663413
10413325840
111a2347904
12b6509240
1367828c05
143cc72d44
1526446db0
hex18a2da10

413325840 has 40 divisors (see below), whose sum is σ = 1281310848. Its totient is φ = 110220160.

The previous prime is 413325793. The next prime is 413325859. The reversal of 413325840 is 48523314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413325798 and 413325807.

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 7 ways as a sum of consecutive naturals, for example, 860856 + ... + 861335.

Almost surely, 2413325840 is an apocalyptic number.

413325840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413325840 is an abundant number, since it is smaller than the sum of its proper divisors (867985008).

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

413325840 is a wasteful number, since it uses less digits than its factorization.

413325840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722207 (or 1722201 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 413325840 is about 20330.4166214074. The cubic root of 413325840 is about 744.8992191346.

The spelling of 413325840 in words is "four hundred thirteen million, three hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1722191 3444382 5166573 6888764 8610955 10333146 13777528 17221910 20666292 25832865 27555056 34443820 41332584 51665730 68887640 82665168 103331460 137775280 206662920 413325840