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3801140 = 2257191429
BaseRepresentation
bin1110100000000000110100
321011010011222
432200000310
51433114030
6213245512
744211020
oct16400064
97133158
103801140
112166942
121333898
13a311c5
1470d380
155013e5
hex3a0034

3801140 has 48 divisors (see below), whose sum is σ = 9609600. Its totient is φ = 1233792.

The previous prime is 3801137. The next prime is 3801143. The reversal of 3801140 is 411083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3801137) and next prime (3801143).

3801140 is a modest number, since divided by 1140 gives 380 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (200200).

Almost surely, 23801140 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 3801140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804800).

3801140 is an abundant number, since it is smaller than the sum of its proper divisors (5808460).

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

3801140 is a wasteful number, since it uses less digits than its factorization.

3801140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 3801140 is about 1949.6512508651. The cubic root of 3801140 is about 156.0646784181.

The spelling of 3801140 in words is "three million, eight hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1429 2660 2858 5716 7145 10003 14290 20006 27151 28580 40012 50015 54302 100030 108604 135755 190057 200060 271510 380114 543020 760228 950285 1900570 3801140