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3835420 = 225377173
BaseRepresentation
bin1110101000011000011100
321012212012121
432220120130
51440213140
6214112324
744412661
oct16503034
97185177
103835420
11218a676
12134b6a4
13a439a4
1471ba68
1550b64a
hex3a861c

3835420 has 48 divisors (see below), whose sum is σ = 8503488. Its totient is φ = 1451520.

The previous prime is 3835399. The next prime is 3835439. The reversal of 3835420 is 245383.

3835420 = T104 + T105 + ... + T288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52504 + ... + 52576.

It is an arithmetic number, because the mean of its divisors is an integer number (177156).

Almost surely, 23835420 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 3835420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251744).

3835420 is an abundant number, since it is smaller than the sum of its proper divisors (4668068).

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

3835420 is a wasteful number, since it uses less digits than its factorization.

3835420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3835420 is about 1958.4228348342. The cubic root of 3835420 is about 156.5324236086.

The spelling of 3835420 in words is "three million, eight hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 71 73 74 142 146 148 185 284 292 355 365 370 710 730 740 1420 1460 2627 2701 5183 5254 5402 10366 10508 10804 13135 13505 20732 25915 26270 27010 51830 52540 54020 103660 191771 383542 767084 958855 1917710 3835420