Search a number
-
+
20251308 = 223721131101
BaseRepresentation
bin100110101000…
…0001010101100
31102002212120110
41031100022230
520141020213
62002020020
7334063500
oct115201254
942085513
1020251308
1110482120
126947610
13427092c
142992300
151ba05c3
hex13502ac

20251308 has 144 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 5040000.

The previous prime is 20251303. The next prime is 20251333. The reversal of 20251308 is 80315202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20251303) 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, 200458 + ... + 200558.

It is an arithmetic number, because the mean of its divisors is an integer number (434112).

Almost surely, 220251308 is an apocalyptic number.

20251308 is a gapful number since it is divisible by the number (28) 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 20251308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064).

20251308 is an abundant number, since it is smaller than the sum of its proper divisors (42260820).

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

20251308 is a wasteful number, since it uses less digits than its factorization.

20251308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20251308 is about 4500.1453309865. The cubic root of 20251308 is about 272.5739574250.

It can be divided in two parts, 2025 and 1308, that added together give a palindrome (3333).

The spelling of 20251308 in words is "twenty million, two hundred fifty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 101 124 132 147 154 186 196 202 217 231 294 303 308 341 372 404 434 462 539 588 606 651 682 707 868 924 1023 1078 1111 1212 1302 1364 1414 1519 1617 2046 2121 2156 2222 2387 2604 2828 3038 3131 3234 3333 4092 4242 4444 4557 4774 4949 6076 6262 6468 6666 7161 7777 8484 9114 9393 9548 9898 12524 13332 14322 14847 15554 16709 18228 18786 19796 21917 23331 28644 29694 31108 33418 34441 37572 43834 46662 50127 54439 59388 65751 66836 68882 87668 93324 100254 103323 108878 131502 137764 153419 163317 200508 206646 217756 241087 263004 306838 326634 413292 460257 482174 613676 653268 723261 920514 964348 1446522 1687609 1841028 2893044 3375218 5062827 6750436 10125654 20251308