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3858420 = 2235107601
BaseRepresentation
bin1110101101111111110100
321021000202110
432231333310
51441432140
6214411020
744540016
oct16557764
97230673
103858420
1121a5985
121360a70
13a512b7
147261b6
15513380
hex3adff4

3858420 has 48 divisors (see below), whose sum is σ = 10922688. Its totient is φ = 1017600.

The previous prime is 3858403. The next prime is 3858427. The reversal of 3858420 is 248583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3858427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6120 + ... + 6720.

It is an arithmetic number, because the mean of its divisors is an integer number (227556).

Almost surely, 23858420 is an apocalyptic number.

3858420 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 3858420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461344).

3858420 is an abundant number, since it is smaller than the sum of its proper divisors (7064268).

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

3858420 is a wasteful number, since it uses less digits than its factorization.

3858420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3858420 is about 1964.2861298701. The cubic root of 3858420 is about 156.8446947592.

It can be divided in two parts, 3858 and 420, that added together give a triangular number (4278 = T92).

The spelling of 3858420 in words is "three million, eight hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 601 642 1070 1202 1284 1605 1803 2140 2404 3005 3210 3606 6010 6420 7212 9015 12020 18030 36060 64307 128614 192921 257228 321535 385842 643070 771684 964605 1286140 1929210 3858420