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414461020 = 225171219003
BaseRepresentation
bin11000101101000…
…010110001011100
31001212212210122011
4120231002301130
51322100223040
6105043201004
713161601111
oct3055026134
91055783564
10414461020
111a2a52776
12b6976164
1367b3580c
143d08a908
15265bd3ea
hex18b42c5c

414461020 has 24 divisors (see below), whose sum is σ = 921567024. Its totient is φ = 156032256.

The previous prime is 414460999. The next prime is 414461057. The reversal of 414461020 is 20164414.

It is a junction number, because it is equal to n+sod(n) for n = 414460982 and 414461000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609162 + ... + 609841.

It is an arithmetic number, because the mean of its divisors is an integer number (38398626).

Almost surely, 2414461020 is an apocalyptic number.

It is an amenable number.

414461020 is an abundant number, since it is smaller than the sum of its proper divisors (507106004).

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

414461020 is a wasteful number, since it uses less digits than its factorization.

414461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219029 (or 1219027 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414461020 is about 20358.3157456603. The cubic root of 414461020 is about 745.5805393459.

The spelling of 414461020 in words is "four hundred fourteen million, four hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1219003 2438006 4876012 6095015 12190030 20723051 24380060 41446102 82892204 103615255 207230510 414461020