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4121316 = 2232239479
BaseRepresentation
bin1111101110001011100100
321202101101100
433232023210
52023340231
6224200100
750013333
oct17561344
97671340
104121316
112365451
121469030
13b13b64
14793d1a
155661e6
hex3ee2e4

4121316 has 36 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 1365168.

The previous prime is 4121311. The next prime is 4121321. The reversal of 4121316 is 6131214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4121311) and next prime (4121321).

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

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

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

It is not an unprimeable number, because it can be changed into a prime (4121311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8365 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 24121316 is an apocalyptic number.

It is an amenable number.

4121316 is an abundant number, since it is smaller than the sum of its proper divisors (6361884).

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

4121316 is a wasteful number, since it uses less digits than its factorization.

4121316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4121316 is about 2030.1024604684. The cubic root of 4121316 is about 160.3289586171.

It can be divided in two parts, 412 and 1316, that added together give a cube (1728 = 123).

The spelling of 4121316 in words is "four million, one hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 479 717 956 958 1434 1437 1916 2151 2868 2874 4302 4311 5748 8604 8622 17244 114481 228962 343443 457924 686886 1030329 1373772 2060658 4121316