Search a number
-
+
3856140 = 2233537193
BaseRepresentation
bin1110101101011100001100
321020220122000
432231130030
51441344030
6214352300
744530251
oct16553414
97226560
103856140
1121a41a2
12135b690
13a50252
14725428
15512860
hex3ad70c

3856140 has 96 divisors (see below), whose sum is σ = 12384960. Its totient is φ = 995328.

The previous prime is 3856133. The next prime is 3856141. The reversal of 3856140 is 416583.

It is a super-3 number, since 3×38561403 (a number of 21 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3856141) 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, 19884 + ... + 20076.

It is an arithmetic number, because the mean of its divisors is an integer number (129010).

Almost surely, 23856140 is an apocalyptic number.

3856140 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 3856140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192480).

3856140 is an abundant number, since it is smaller than the sum of its proper divisors (8528820).

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

3856140 is a wasteful number, since it uses less digits than its factorization.

3856140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3856140 is about 1963.7056805947. The cubic root of 3856140 is about 156.8137946874.

The spelling of 3856140 in words is "three million, eight hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 193 222 270 333 370 386 444 540 555 579 666 740 772 965 999 1110 1158 1332 1665 1737 1930 1998 2220 2316 2895 3330 3474 3860 3996 4995 5211 5790 6660 6948 7141 8685 9990 10422 11580 14282 17370 19980 20844 21423 26055 28564 34740 35705 42846 52110 64269 71410 85692 104220 107115 128538 142820 192807 214230 257076 321345 385614 428460 642690 771228 964035 1285380 1928070 3856140