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4014320 = 245192139
BaseRepresentation
bin1111010100000011110000
321112221121112
433110003300
52011424240
6222012452
746056362
oct17240360
97487545
104014320
1122a2022
121417128
13aa724b
14766d32
15544665
hex3d40f0

4014320 has 60 divisors (see below), whose sum is σ = 9921240. Its totient is φ = 1510272.

The previous prime is 4014313. The next prime is 4014331. The reversal of 4014320 is 234104.

It is a super-2 number, since 2×40143202 = 32229530124800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4014295 and 4014304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28811 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (165354).

Almost surely, 24014320 is an apocalyptic number.

4014320 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 4014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960620).

4014320 is an abundant number, since it is smaller than the sum of its proper divisors (5906920).

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

4014320 is a wasteful number, since it uses less digits than its factorization.

4014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4014320 is about 2003.5768016225. The cubic root of 4014320 is about 158.9293094512.

Adding to 4014320 its reverse (234104), we get a palindrome (4248424).

It can be divided in two parts, 4014 and 320, that added together give a palindrome (4334).

The spelling of 4014320 in words is "four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 139 152 190 278 304 361 380 556 695 722 760 1112 1390 1444 1520 1805 2224 2641 2780 2888 3610 5282 5560 5776 7220 10564 11120 13205 14440 21128 26410 28880 42256 50179 52820 100358 105640 200716 211280 250895 401432 501790 802864 1003580 2007160 4014320