Search a number
-
+
20251530 = 23251319911
BaseRepresentation
bin100110101000…
…0001110001010
31102002212212200
41031100032022
520141022110
62002021030
7334064235
oct115201612
942085780
1020251530
1110482302
126947776
134270a70
14299241c
151ba06c0
hex135038a

20251530 has 96 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 4717440.

The previous prime is 20251529. The next prime is 20251531. The reversal of 20251530 is 3515202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20251529) and next prime (20251531).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20251531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21775 + ... + 22685.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 220251530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20251530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

20251530 is an abundant number, since it is smaller than the sum of its proper divisors (39502710).

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

20251530 is a wasteful number, since it uses less digits than its factorization.

20251530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20251530 is about 4500.1699967890. The cubic root of 20251530 is about 272.5749534297.

Adding to 20251530 its reverse (3515202), we get a palindrome (23766732).

The spelling of 20251530 in words is "twenty million, two hundred fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 911 1170 1235 1482 1710 1822 2223 2470 2733 3705 4446 4555 5466 7410 8199 9110 11115 11843 13665 16398 17309 22230 23686 27330 34618 35529 40995 51927 59215 71058 81990 86545 103854 106587 118430 155781 173090 177645 213174 225017 259635 311562 355290 450034 519270 532935 675051 778905 1065870 1125085 1350102 1557810 2025153 2250170 3375255 4050306 6750510 10125765 20251530