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20200013440 = 275471494507
BaseRepresentation
bin10010110100000000…
…111011111010000000
31221010202220000002221
4102310000323322000
5312332200412230
613140232220424
71313401165315
oct226400737200
957122800087
1020200013440
118626421092
123ab8b3a714
131b9bc68099
14d98aacd0c
157d35c927a
hex4b403be80

20200013440 has 128 divisors (see below), whose sum is σ = 49660128000. Its totient is φ = 7853273088.

The previous prime is 20200013413. The next prime is 20200013441. The reversal of 20200013440 is 4431000202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20200013441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4479667 + ... + 4484173.

It is an arithmetic number, because the mean of its divisors is an integer number (387969750).

Almost surely, 220200013440 is an apocalyptic number.

20200013440 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 20200013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830064000).

20200013440 is an abundant number, since it is smaller than the sum of its proper divisors (29460114560).

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

20200013440 is a wasteful number, since it uses less digits than its factorization.

20200013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20200013440 its reverse (4431000202), we get a palindrome (24631013642).

The spelling of 20200013440 in words is "twenty billion, two hundred million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 149 160 188 235 298 320 376 470 596 640 745 752 940 1192 1490 1504 1880 2384 2980 3008 3760 4507 4768 5960 6016 7003 7520 9014 9536 11920 14006 15040 18028 19072 22535 23840 28012 30080 35015 36056 45070 47680 56024 70030 72112 90140 95360 112048 140060 144224 180280 211829 224096 280120 288448 360560 423658 448192 560240 576896 671543 721120 847316 896384 1059145 1120480 1343086 1442240 1694632 2118290 2240960 2686172 2884480 3357715 3389264 4236580 4481920 5372344 6715430 6778528 8473160 10744688 13430860 13557056 16946320 21489376 26861720 27114112 31562521 33892640 42978752 53723440 63125042 67785280 85957504 107446880 126250084 135570560 157812605 214893760 252500168 315625210 429787520 505000336 631250420 1010000672 1262500840 2020001344 2525001680 4040002688 5050003360 10100006720 20200013440