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4017420 = 22325112029
BaseRepresentation
bin1111010100110100001100
321120002212100
433110310030
52012024140
6222035100
746101411
oct17246414
97502770
104017420
1122a4390
121418a90
13aa8794
14768108
15545530
hex3d4d0c

4017420 has 72 divisors (see below), whose sum is σ = 13300560. Its totient is φ = 973440.

The previous prime is 4017407. The next prime is 4017427. The reversal of 4017420 is 247104.

It is a happy number.

4017420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40174202 = 32279326912800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4017393 and 4017402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (184730).

Almost surely, 24017420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4017420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650280).

4017420 is an abundant number, since it is smaller than the sum of its proper divisors (9283140).

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

4017420 is a wasteful number, since it uses less digits than its factorization.

4017420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4017420 is about 2004.3502687904. The cubic root of 4017420 is about 158.9702092044.

The spelling of 4017420 in words is "four million, seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2029 4058 6087 8116 10145 12174 18261 20290 22319 24348 30435 36522 40580 44638 60870 66957 73044 89276 91305 111595 121740 133914 182610 200871 223190 267828 334785 365220 401742 446380 669570 803484 1004355 1339140 2008710 4017420