Search a number
-
+
20025320 = 2357217601
BaseRepresentation
bin100110001100…
…0111111101000
31101200101120112
41030120333220
520111302240
61553113452
7332132600
oct114307750
941611515
1020025320
1110338357
126858888
1341c1b03
142933c00
151b58665
hex1318fe8

20025320 has 96 divisors (see below), whose sum is σ = 55588680. Its totient is φ = 6451200.

The previous prime is 20025311. The next prime is 20025329. The reversal of 20025320 is 2352002.

It is an interprime number because it is at equal distance from previous prime (20025311) and next prime (20025329).

It can be written as a sum of positive squares in 4 ways, for example, as 19695844 + 329476 = 4438^2 + 574^2 .

It is a super-2 number, since 2×200253202 = 802026882204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20025295 and 20025304.

It is not an unprimeable number, because it can be changed into a prime (20025329) 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 23 ways as a sum of consecutive naturals, for example, 33020 + ... + 33620.

Almost surely, 220025320 is an apocalyptic number.

20025320 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 20025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794340).

20025320 is an abundant number, since it is smaller than the sum of its proper divisors (35563360).

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

20025320 is a wasteful number, since it uses less digits than its factorization.

20025320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 20025320 is about 4474.9659216580. The cubic root of 20025320 is about 271.5562617774.

Adding to 20025320 its reverse (2352002), we get a palindrome (22377322).

The spelling of 20025320 in words is "twenty million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 601 680 833 952 980 1190 1202 1666 1960 2380 2404 3005 3332 4165 4207 4760 4808 6010 6664 8330 8414 10217 12020 16660 16828 20434 21035 24040 29449 33320 33656 40868 42070 51085 58898 71519 81736 84140 102170 117796 143038 147245 168280 204340 235592 286076 294490 357595 408680 500633 572152 588980 715190 1001266 1177960 1430380 2002532 2503165 2860760 4005064 5006330 10012660 20025320