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3829140 = 2233571013
BaseRepresentation
bin1110100110110110010100
321012112121000
432212312110
51440013030
6214023300
744355450
oct16466624
97175530
103829140
112185987
121347b30
13a40b83
14719660
15509860
hex3a6d94

3829140 has 96 divisors (see below), whose sum is σ = 13628160. Its totient is φ = 874368.

The previous prime is 3829139. The next prime is 3829141. The reversal of 3829140 is 419283.

It is an interprime number because it is at equal distance from previous prime (3829139) and next prime (3829141).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3274 + ... + 4286.

It is an arithmetic number, because the mean of its divisors is an integer number (141960).

Almost surely, 23829140 is an apocalyptic number.

3829140 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 3829140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814080).

3829140 is an abundant number, since it is smaller than the sum of its proper divisors (9799020).

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

3829140 is a wasteful number, since it uses less digits than its factorization.

3829140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3829140 is about 1956.8188470065. The cubic root of 3829140 is about 156.4469431282.

It can be divided in two parts, 3829 and 140, that added together give a square (3969 = 632).

The spelling of 3829140 in words is "three million, eight hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1013 1260 1890 2026 3039 3780 4052 5065 6078 7091 9117 10130 12156 14182 15195 18234 20260 21273 27351 28364 30390 35455 36468 42546 45585 54702 60780 63819 70910 85092 91170 106365 109404 127638 136755 141820 182340 191457 212730 255276 273510 319095 382914 425460 547020 638190 765828 957285 1276380 1914570 3829140