Search a number
-
+
20140204020 = 22356737913219
BaseRepresentation
bin10010110000011100…
…110001111111110100
31220222121100101000020
4102300130301333310
5312221343012040
613130254245140
71312043623656
oct226034617764
956877311006
1020140204020
1185a5690412
123aa0ab67b0
131b8c756ab1
14d90b806d6
157cd212cd0
hex4b0731ff4

20140204020 has 96 divisors (see below), whose sum is σ = 57389606400. Its totient is φ = 5276202624.

The previous prime is 20140203973. The next prime is 20140204033. The reversal of 20140204020 is 2040204102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516971 + ... + 1530189.

It is an arithmetic number, because the mean of its divisors is an integer number (597808400).

Almost surely, 220140204020 is an apocalyptic number.

20140204020 is a gapful number since it is divisible by the number (20) 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 20140204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28694803200).

20140204020 is an abundant number, since it is smaller than the sum of its proper divisors (37249402380).

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

20140204020 is a wasteful number, since it uses less digits than its factorization.

20140204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677 (or 13675 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20140204020 its reverse (2040204102), we get a palindrome (22180408122).

The spelling of 20140204020 in words is "twenty billion, one hundred forty million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 379 402 670 758 804 1005 1137 1340 1516 1895 2010 2274 3790 4020 4548 5685 7580 11370 13219 22740 25393 26438 39657 50786 52876 66095 76179 79314 101572 126965 132190 152358 158628 198285 253930 264380 304716 380895 396570 507860 761790 793140 885673 1523580 1771346 2657019 3542692 4428365 5010001 5314038 8856730 10020002 10628076 13285095 15030003 17713460 20040004 25050005 26570190 30060006 50100010 53140380 60120012 75150015 100200020 150300030 300600060 335670067 671340134 1007010201 1342680268 1678350335 2014020402 3356700670 4028040804 5035051005 6713401340 10070102010 20140204020