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4006620 = 2232522259
BaseRepresentation
bin1111010010001011011100
321112120001100
433102023130
52011202440
6221513100
746025052
oct17221334
97476040
104006620
112297262
121412790
13aa38a7
147641d2
15542230
hex3d22dc

4006620 has 36 divisors (see below), whose sum is σ = 12153960. Its totient is φ = 1068384.

The previous prime is 4006603. The next prime is 4006621. The reversal of 4006620 is 266004.

4006620 is a `hidden beast` number, since 4 + 0 + 0 + 662 + 0 = 666.

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4006593 and 4006602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006621) 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, 10950 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (337610).

Almost surely, 24006620 is an apocalyptic number.

It is an amenable number.

4006620 is an abundant number, since it is smaller than the sum of its proper divisors (8147340).

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

4006620 is a wasteful number, since it uses less digits than its factorization.

4006620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22274 (or 22269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4006620 is about 2001.6543158098. The cubic root of 4006620 is about 158.8276285555.

The spelling of 4006620 in words is "four million, six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22259 44518 66777 89036 111295 133554 200331 222590 267108 333885 400662 445180 667770 801324 1001655 1335540 2003310 4006620