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412100712 = 23325723621
BaseRepresentation
bin11000100100000…
…010100001101000
31001201102212220100
4120210002201220
51320444210322
6104520425400
713132540542
oct3044024150
91051385810
10412100712
111a1690401
12b6018260
13674ba39a
143ca34692
15262a3dac
hex18902868

412100712 has 24 divisors (see below), whose sum is σ = 1116106290. Its totient is φ = 137366880.

The previous prime is 412100693. The next prime is 412100713. The reversal of 412100712 is 217001214.

It can be written as a sum of positive squares in only one way, i.e., 236113956 + 175986756 = 15366^2 + 13266^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412100713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2861739 + ... + 2861882.

Almost surely, 2412100712 is an apocalyptic number.

It is an amenable number.

412100712 is an abundant number, since it is smaller than the sum of its proper divisors (704005578).

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

412100712 is a wasteful number, since it uses less digits than its factorization.

412100712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723633 (or 5723626 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 412100712 is about 20300.2638406500. The cubic root of 412100712 is about 744.1625121932.

Adding to 412100712 its reverse (217001214), we get a palindrome (629101926).

It can be divided in two parts, 412 and 100712, that added together give a square (101124 = 3182).

The spelling of 412100712 in words is "four hundred twelve million, one hundred thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5723621 11447242 17170863 22894484 34341726 45788968 51512589 68683452 103025178 137366904 206050356 412100712