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20403413420 = 22513297138113
BaseRepresentation
bin10011000000001000…
…110110000110101100
31221122221121210102112
4103000020312012230
5313241233212140
613212335543152
71321421103215
oct230010660654
957587553375
1020403413420
118720216545
123b5508aab8
131c02142ac0
14db7ad840c
157e63a5c65
hex4c02361ac

20403413420 has 96 divisors (see below), whose sum is σ = 48407829120. Its totient is φ = 7171153920.

The previous prime is 20403413419. The next prime is 20403413423. The reversal of 20403413420 is 2431430402.

It is not an unprimeable number, because it can be changed into a prime (20403413423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516284 + ... + 554396.

It is an arithmetic number, because the mean of its divisors is an integer number (504248220).

Almost surely, 220403413420 is an apocalyptic number.

20403413420 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 20403413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203914560).

20403413420 is an abundant number, since it is smaller than the sum of its proper divisors (28004415700).

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

20403413420 is a wasteful number, since it uses less digits than its factorization.

20403413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38235 (or 38233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20403413420 its reverse (2431430402), we get a palindrome (22834843822).

The spelling of 20403413420 in words is "twenty billion, four hundred three million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 71 116 130 142 145 260 284 290 355 377 580 710 754 923 1420 1508 1846 1885 2059 3692 3770 4118 4615 7540 8236 9230 10295 18460 20590 26767 38113 41180 53534 76226 107068 133835 152452 190565 267670 381130 495469 535340 762260 990938 1105277 1981876 2210554 2477345 2706023 4421108 4954690 5412046 5526385 9909380 10824092 11052770 13530115 14368601 22105540 27060230 28737202 35178299 54120460 57474404 70356598 71843005 78474667 140713196 143686010 156949334 175891495 287372020 313898668 351782990 392373335 703565980 784746670 1020170671 1569493340 2040341342 4080682684 5100853355 10201706710 20403413420