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20397825 = 345271439
BaseRepresentation
bin100110111001…
…1111100000001
31102101022120000
41031303330001
520210212300
62005110213
7335243610
oct115637401
942338500
1020397825
1110572208
1269b8369
1342c2526
1429cd877
151bcdc00
hex1373f01

20397825 has 60 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 9318240.

The previous prime is 20397823. The next prime is 20397827. The reversal of 20397825 is 52879302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20397823) and next prime (20397827).

It is not a de Polignac number, because 20397825 - 21 = 20397823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20397825.

It is not an unprimeable number, because it can be changed into a prime (20397823) 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 59 ways as a sum of consecutive naturals, for example, 13456 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (720192).

Almost surely, 220397825 is an apocalyptic number.

20397825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20397825 is an abundant number, since it is smaller than the sum of its proper divisors (22813695).

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

20397825 is a wasteful number, since it uses less digits than its factorization.

20397825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20397825 is about 4516.3951332894. The cubic root of 20397825 is about 273.2297305489.

The spelling of 20397825 in words is "twenty million, three hundred ninety-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1439 1575 2025 2835 4317 4725 7195 10073 12951 14175 21585 30219 35975 38853 50365 64755 90657 107925 116559 151095 194265 251825 271971 323775 453285 582795 755475 815913 971325 1359855 2266425 2913975 4079565 6799275 20397825