Search a number
-
+
26452560 = 2435195801
BaseRepresentation
bin110010011101…
…0001001010000
31211202221002110
41210322021100
523232440220
62342545320
7440562111
oct144721120
954687073
1026452560
1113a28222
128a38240
135632404
143728208
1524c7be0
hex193a250

26452560 has 80 divisors (see below), whose sum is σ = 86333760. Its totient is φ = 6681600.

The previous prime is 26452523. The next prime is 26452583. The reversal of 26452560 is 6525462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (1079172).

Almost surely, 226452560 is an apocalyptic number.

26452560 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 26452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43166880).

26452560 is an abundant number, since it is smaller than the sum of its proper divisors (59881200).

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

26452560 is a wasteful number, since it uses less digits than its factorization.

26452560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 26452560 is about 5143.2052263156. The cubic root of 26452560 is about 297.9585846984.

The spelling of 26452560 in words is "twenty-six million, four hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 5801 11602 17403 23204 29005 34806 46408 58010 69612 87015 92816 110219 116020 139224 174030 220438 232040 278448 330657 348060 440876 464080 551095 661314 696120 881752 1102190 1322628 1392240 1653285 1763504 2204380 2645256 3306570 4408760 5290512 6613140 8817520 13226280 26452560