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4014180 = 2232529769
BaseRepresentation
bin1111010100000001100100
321112221102100
433110001210
52011423210
6222012100
746056102
oct17240144
97487370
104014180
1122a1a05
121417030
13aa7171
14766c72
155445c0
hex3d4064

4014180 has 72 divisors (see below), whose sum is σ = 12612600. Its totient is φ = 1032192.

The previous prime is 4014173. The next prime is 4014191. The reversal of 4014180 is 814104.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 3709476 = 552^2 + 1926^2 .

It is a super-2 number, since 2×40141802 = 32227282144800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4836 + ... + 5604.

It is an arithmetic number, because the mean of its divisors is an integer number (175175).

Almost surely, 24014180 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 4014180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306300).

4014180 is an abundant number, since it is smaller than the sum of its proper divisors (8598420).

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

4014180 is a wasteful number, since it uses less digits than its factorization.

4014180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4014180 is about 2003.5418638002. The cubic root of 4014180 is about 158.9274618688.

Adding to 4014180 its reverse (814104), we get a palindrome (4828284).

The spelling of 4014180 in words is "four million, fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 769 870 1044 1305 1538 1740 2307 2610 3076 3845 4614 5220 6921 7690 9228 11535 13842 15380 22301 23070 27684 34605 44602 46140 66903 69210 89204 111505 133806 138420 200709 223010 267612 334515 401418 446020 669030 802836 1003545 1338060 2007090 4014180