Search a number
-
+
25780920 = 23351119531
BaseRepresentation
bin110001001011…
…0001010111000
31210111210202220
41202112022320
523044442140
62320324040
7432064014
oct142261270
953453686
1025780920
1113609650
128773620
1354587a9
1435d1544
1523e3bd0
hex18962b8

25780920 has 64 divisors (see below), whose sum is σ = 84378240. Its totient is φ = 6249600.

The previous prime is 25780919. The next prime is 25780921. The reversal of 25780920 is 2908752.

It is an interprime number because it is at equal distance from previous prime (25780919) and next prime (25780921).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25780921) 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 15 ways as a sum of consecutive naturals, for example, 8446 + ... + 11085.

It is an arithmetic number, because the mean of its divisors is an integer number (1318410).

Almost surely, 225780920 is an apocalyptic number.

25780920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25780920 is an abundant number, since it is smaller than the sum of its proper divisors (58597320).

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

25780920 is a wasteful number, since it uses less digits than its factorization.

25780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19556 (or 19552 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 25780920 is about 5077.4915066399. The cubic root of 25780920 is about 295.4151771680.

The spelling of 25780920 in words is "twenty-five million, seven hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 19531 39062 58593 78124 97655 117186 156248 195310 214841 234372 292965 390620 429682 468744 585930 644523 781240 859364 1074205 1171860 1289046 1718728 2148410 2343720 2578092 3222615 4296820 5156184 6445230 8593640 12890460 25780920