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19631412 = 22325310289
BaseRepresentation
bin100101011100…
…0110100110100
31100221101020100
41022320310310
520011201122
61540434100
7325602303
oct112706464
940841210
1019631412
1110099409
1266a8930
1340b4728
14287043a
151acbaac
hex12b8d34

19631412 has 36 divisors (see below), whose sum is σ = 50565060. Its totient is φ = 6419712.

The previous prime is 19631411. The next prime is 19631519. The reversal of 19631412 is 21413691.

19631412 is a `hidden beast` number, since 19 + 631 + 4 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 3663396 = 3996^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×196314122 = 770784674227488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19631411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3237 + ... + 7052.

It is an arithmetic number, because the mean of its divisors is an integer number (1404585).

Almost surely, 219631412 is an apocalyptic number.

19631412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19631412 is an abundant number, since it is smaller than the sum of its proper divisors (30933648).

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

19631412 is a wasteful number, since it uses less digits than its factorization.

19631412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10347 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 19631412 is about 4430.7349277518. The cubic root of 19631412 is about 269.7639088456.

It can be divided in two parts, 1963 and 1412, that added together give a cube (3375 = 153).

The spelling of 19631412 in words is "nineteen million, six hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 10289 20578 30867 41156 61734 92601 123468 185202 370404 545317 1090634 1635951 2181268 3271902 4907853 6543804 9815706 19631412