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20625420 = 22351773277
BaseRepresentation
bin100111010101…
…1100000001100
31102210212202110
41032223200030
520240003140
62014024020
7340212264
oct116534014
942725673
1020625420
1110708202
126aa8010
134371cba
142a4c7a4
151c26380
hex13ab80c

20625420 has 96 divisors (see below), whose sum is σ = 62209728. Its totient is φ = 5087232.

The previous prime is 20625413. The next prime is 20625421. The reversal of 20625420 is 2452602.

It is not an unprimeable number, because it can be changed into a prime (20625421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74322 + ... + 74598.

It is an arithmetic number, because the mean of its divisors is an integer number (648018).

Almost surely, 220625420 is an apocalyptic number.

20625420 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 20625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104864).

20625420 is an abundant number, since it is smaller than the sum of its proper divisors (41584308).

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

20625420 is a wasteful number, since it uses less digits than its factorization.

20625420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20625420 is about 4541.5217713890. The cubic root of 20625420 is about 274.2421891191.

The spelling of 20625420 in words is "twenty million, six hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 146 170 204 219 255 277 292 340 365 438 510 554 730 831 876 1020 1095 1108 1241 1385 1460 1662 2190 2482 2770 3324 3723 4155 4380 4709 4964 5540 6205 7446 8310 9418 12410 14127 14892 16620 18615 18836 20221 23545 24820 28254 37230 40442 47090 56508 60663 70635 74460 80884 94180 101105 121326 141270 202210 242652 282540 303315 343757 404420 606630 687514 1031271 1213260 1375028 1718785 2062542 3437570 4125084 5156355 6875140 10312710 20625420