Search a number
-
+
25959340 = 22511217631
BaseRepresentation
bin110001100000…
…1101110101100
31210211212112001
41203001232230
523121144330
62324222044
7433436131
oct143015654
953755461
1025959340
1113720700
12883a924
1354bba74
14363a588
15242b9ca
hex18c1bac

25959340 has 72 divisors (see below), whose sum is σ = 63546336. Its totient is φ = 8870400.

The previous prime is 25959319. The next prime is 25959359. The reversal of 25959340 is 4395952.

It is a self number, because there is not a number n which added to its sum of digits gives 25959340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40825 + ... + 41455.

It is an arithmetic number, because the mean of its divisors is an integer number (882588).

Almost surely, 225959340 is an apocalyptic number.

25959340 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 25959340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31773168).

25959340 is an abundant number, since it is smaller than the sum of its proper divisors (37586996).

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

25959340 is a wasteful number, since it uses less digits than its factorization.

25959340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 25959340 is about 5095.0309125657. The cubic root of 25959340 is about 296.0950966666.

It can be divided in two parts, 2595 and 9340, that added together give a triangular number (11935 = T154).

The spelling of 25959340 in words is "twenty-five million, nine hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 631 748 935 1210 1262 1870 2057 2420 2524 3155 3740 4114 6310 6941 8228 10285 10727 12620 13882 20570 21454 27764 34705 41140 42908 53635 69410 76351 107270 117997 138820 152702 214540 235994 305404 381755 471988 589985 763510 1179970 1297967 1527020 2359940 2595934 5191868 6489835 12979670 25959340