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4408020 = 22355907
BaseRepresentation
bin10000110100001011010100
322021221200000
4100310023110
52112024040
6234251300
752316241
oct20641324
98257600
104408020
1125408a1
121586b30
13bb44c6
1482a5c8
155c1130
hex4342d4

4408020 has 72 divisors (see below), whose sum is σ = 13881504. Its totient is φ = 1174176.

The previous prime is 4408007. The next prime is 4408031. The reversal of 4408020 is 208044.

It is a happy number.

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 = 4407984 and 4408002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407 + ... + 5313.

Almost surely, 24408020 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 4408020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940752).

4408020 is an abundant number, since it is smaller than the sum of its proper divisors (9473484).

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

4408020 is a wasteful number, since it uses less digits than its factorization.

4408020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4408020 is about 2099.5285185012. The cubic root of 4408020 is about 163.9637536394.

It can be divided in two parts, 44080 and 20, that added together give a square (44100 = 2102).

The spelling of 4408020 in words is "four million, four hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 907 972 1215 1620 1814 2430 2721 3628 4535 4860 5442 8163 9070 10884 13605 16326 18140 24489 27210 32652 40815 48978 54420 73467 81630 97956 122445 146934 163260 220401 244890 293868 367335 440802 489780 734670 881604 1102005 1469340 2204010 4408020