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420400410 = 23561229727
BaseRepresentation
bin11001000011101…
…100110100011010
31002022001112221120
4121003230310122
51330110303120
6105414350110
713263226113
oct3103546432
91068045846
10420400410
111a633a061
12b895b336
1369135051
143db9520a
1526d93140
hex190ecd1a

420400410 has 32 divisors (see below), whose sum is σ = 1025505792. Its totient is φ = 110268480.

The previous prime is 420400397. The next prime is 420400427. The reversal of 420400410 is 14004024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420400410.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113034 + ... + 116693.

It is an arithmetic number, because the mean of its divisors is an integer number (32047056).

Almost surely, 2420400410 is an apocalyptic number.

420400410 is an abundant number, since it is smaller than the sum of its proper divisors (605105382).

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

420400410 is a wasteful number, since it uses less digits than its factorization.

420400410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229798.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420400410 is about 20503.6682083963. The cubic root of 420400410 is about 749.1251487995.

Adding to 420400410 its reverse (14004024), we get a palindrome (434404434).

The spelling of 420400410 in words is "four hundred twenty million, four hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 229727 459454 689181 1148635 1378362 2297270 3445905 6891810 14013347 28026694 42040041 70066735 84080082 140133470 210200205 420400410