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3801160 = 2351153163
BaseRepresentation
bin1110100000000001001000
321011010012201
432200001020
51433114120
6213245544
744211046
oct16400110
97133181
103801160
112166960
1213338b4
13a3120c
1470d396
1550140a
hex3a0048

3801160 has 64 divisors (see below), whose sum is σ = 9564480. Its totient is φ = 1347840.

The previous prime is 3801143. The next prime is 3801163. The reversal of 3801160 is 611083.

It is not an unprimeable number, because it can be changed into a prime (3801163) 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, 23239 + ... + 23401.

It is an arithmetic number, because the mean of its divisors is an integer number (149445).

Almost surely, 23801160 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 3801160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782240).

3801160 is an abundant number, since it is smaller than the sum of its proper divisors (5763320).

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

3801160 is a wasteful number, since it uses less digits than its factorization.

3801160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3801160 is about 1949.6563799808. The cubic root of 3801160 is about 156.0649521332.

It can be divided in two parts, 380 and 1160, that added together give a triangular number (1540 = T55).

The spelling of 3801160 in words is "three million, eight hundred one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 163 212 220 265 326 424 440 530 583 652 815 1060 1166 1304 1630 1793 2120 2332 2915 3260 3586 4664 5830 6520 7172 8639 8965 11660 14344 17278 17930 23320 34556 35860 43195 69112 71720 86390 95029 172780 190058 345560 380116 475145 760232 950290 1900580 3801160