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4014120 = 2335113041
BaseRepresentation
bin1111010100000000101000
321112221100010
433110000220
52011422440
6222011520
746055655
oct17240050
97487303
104014120
1122a1960
121416ba0
13aa7126
14766c2c
15544580
hex3d4028

4014120 has 64 divisors (see below), whose sum is σ = 13141440. Its totient is φ = 972800.

The previous prime is 4014113. The next prime is 4014133. The reversal of 4014120 is 214104.

It is a super-2 number, since 2×40141202 = 32226318748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4014096 and 4014105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (205335).

Almost surely, 24014120 is an apocalyptic number.

4014120 is a gapful number since it is divisible by the number (40) 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 4014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570720).

4014120 is an abundant number, since it is smaller than the sum of its proper divisors (9127320).

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

4014120 is a wasteful number, since it uses less digits than its factorization.

4014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4014120 is about 2003.5268902613. The cubic root of 4014120 is about 158.9266700345.

Adding to 4014120 its reverse (214104), we get a palindrome (4228224).

The spelling of 4014120 in words is "four million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3041 6082 9123 12164 15205 18246 24328 30410 33451 36492 45615 60820 66902 72984 91230 100353 121640 133804 167255 182460 200706 267608 334510 364920 401412 501765 669020 802824 1003530 1338040 2007060 4014120