Search a number
-
+
3781140 = 22351117337
BaseRepresentation
bin1110011011001000010100
321010002202020
432123020110
51431444030
6213013140
744065506
oct16331024
97102666
103781140
112152910
1213241b0
13a2507c
14705d76
154ea510
hex39b214

3781140 has 96 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 860160.

The previous prime is 3781121. The next prime is 3781147. The reversal of 3781140 is 411873.

It is a self number, because there is not a number n which added to its sum of digits gives 3781140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781147) 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, 11052 + ... + 11388.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 23781140 is an apocalyptic number.

3781140 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 3781140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3781140 is an abundant number, since it is smaller than the sum of its proper divisors (8484204).

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

3781140 is a wasteful number, since it uses less digits than its factorization.

3781140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 3781140 is about 1944.5153637861. The cubic root of 3781140 is about 155.7904813844.

The spelling of 3781140 in words is "three million, seven hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 337 340 374 510 561 660 674 748 935 1011 1020 1122 1348 1685 1870 2022 2244 2805 3370 3707 3740 4044 5055 5610 5729 6740 7414 10110 11121 11220 11458 14828 17187 18535 20220 22242 22916 28645 34374 37070 44484 55605 57290 63019 68748 74140 85935 111210 114580 126038 171870 189057 222420 252076 315095 343740 378114 630190 756228 945285 1260380 1890570 3781140