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20520564420 = 22357927715629
BaseRepresentation
bin10011000111000111…
…101111011011000100
31221222010001200101110
4103013013233123010
5314011231030140
613232122525020
71324342630266
oct230707573304
957863050343
1020520564420
118780361854
123b88366770
131c204b0015
14dc94b1b36
158017e7380
hex4c71ef6c4

20520564420 has 96 divisors (see below), whose sum is σ = 58398681600. Its totient is φ = 5383033344.

The previous prime is 20520564403. The next prime is 20520564439. The reversal of 20520564420 is 2446502502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1305166 + ... + 1320794.

It is an arithmetic number, because the mean of its divisors is an integer number (608319600).

Almost surely, 220520564420 is an apocalyptic number.

20520564420 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 20520564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199340800).

20520564420 is an abundant number, since it is smaller than the sum of its proper divisors (37878117180).

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

20520564420 is a wasteful number, since it uses less digits than its factorization.

20520564420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15997 (or 15995 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 20520564420 in words is "twenty billion, five hundred twenty million, five hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 277 316 395 474 554 790 831 948 1108 1185 1385 1580 1662 2370 2770 3324 4155 4740 5540 8310 15629 16620 21883 31258 43766 46887 62516 65649 78145 87532 93774 109415 131298 156290 187548 218830 234435 262596 312580 328245 437660 468870 656490 937740 1234691 1312980 2469382 3704073 4329233 4938764 6173455 7408146 8658466 12346910 12987699 14816292 17316932 18520365 21646165 24693820 25975398 37040730 43292330 51950796 64938495 74081460 86584660 129876990 259753980 342009407 684018814 1026028221 1368037628 1710047035 2052056442 3420094070 4104112884 5130141105 6840188140 10260282210 20520564420