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414505420 = 22572960753
BaseRepresentation
bin11000101101001…
…101100111001100
31001212222001112121
4120231031213030
51322103133140
6105044142324
713162144420
oct3055154714
91055861477
10414505420
111a2a8306a
12b69979a4
1367b4caa4
143d09cb80
15265cb64a
hex18b4d9cc

414505420 has 24 divisors (see below), whose sum is σ = 994813344. Its totient is φ = 142116096.

The previous prime is 414505409. The next prime is 414505447. The reversal of 414505420 is 24505414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480237 + ... + 1480516.

It is an arithmetic number, because the mean of its divisors is an integer number (41450556).

Almost surely, 2414505420 is an apocalyptic number.

It is an amenable number.

414505420 is an abundant number, since it is smaller than the sum of its proper divisors (580307924).

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

414505420 is a wasteful number, since it uses less digits than its factorization.

414505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960769 (or 2960767 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 414505420 is about 20359.4061799454. The cubic root of 414505420 is about 745.6071623513.

The spelling of 414505420 in words is "four hundred fourteen million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2960753 5921506 11843012 14803765 20725271 29607530 41450542 59215060 82901084 103626355 207252710 414505420