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3900420 = 2233531233
BaseRepresentation
bin1110111000010000000100
321100011101000
432320100010
51444303140
6215333300
745103326
oct16702004
97304330
103900420
112224497
121381230
13a67454
14737616
15520a30
hex3b8404

3900420 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1002240.

The previous prime is 3900397. The next prime is 3900433. The reversal of 3900420 is 240093.

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 = 3900393 and 3900402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16624 + ... + 16856.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 23900420 is an apocalyptic number.

3900420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3900420 is an abundant number, since it is smaller than the sum of its proper divisors (8679420).

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

3900420 is a wasteful number, since it uses less digits than its factorization.

3900420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3900420 is about 1974.9481005839. The cubic root of 3900420 is about 157.4117419354.

The spelling of 3900420 in words is "three million, nine hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 233 270 279 310 372 465 466 540 558 620 699 837 930 932 1116 1165 1395 1398 1674 1860 2097 2330 2790 2796 3348 3495 4185 4194 4660 5580 6291 6990 7223 8370 8388 10485 12582 13980 14446 16740 20970 21669 25164 28892 31455 36115 41940 43338 62910 65007 72230 86676 108345 125820 130014 144460 195021 216690 260028 325035 390042 433380 650070 780084 975105 1300140 1950210 3900420