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4000235420 = 2255318712017
BaseRepresentation
bin1110111001101110…
…1011111110011100
3101022210011000101102
43232123223332130
531143030013140
61500534532232
7201062303636
oct35633537634
911283130342
104000235420
111773035095
12937807078
134b99a490c
1429d3b5a56
151862bee15
hexee6ebf9c

4000235420 has 48 divisors (see below), whose sum is σ = 8567814528. Its totient is φ = 1568286720.

The previous prime is 4000235399. The next prime is 4000235453. The reversal of 4000235420 is 245320004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4000235392 and 4000235401.

It is a congruent number.

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, 1982252 + ... + 1984268.

It is an arithmetic number, because the mean of its divisors is an integer number (178496136).

Almost surely, 24000235420 is an apocalyptic number.

It is an amenable number.

4000235420 is an abundant number, since it is smaller than the sum of its proper divisors (4567579108).

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

4000235420 is a wasteful number, since it uses less digits than its factorization.

4000235420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4000235420 is about 63247.4143345007. The cubic root of 4000235420 is about 1587.4321935202.

Adding to 4000235420 its reverse (245320004), we get a palindrome (4245555424).

The spelling of 4000235420 in words is "four billion, two hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1871 2017 3742 4034 7484 8068 9355 10085 18710 20170 37420 40340 99163 106901 198326 213802 396652 427604 495815 534505 991630 1069010 1983260 2138020 3773807 7547614 15095228 18869035 37738070 75476140 200011771 400023542 800047084 1000058855 2000117710 4000235420