Search a number
-
+
26161590 = 2357213372
BaseRepresentation
bin110001111001…
…1000110110110
31211020010221210
41203303012312
523144132330
62332422250
7435240600
oct143630666
954203853
1026161590
1113849654
128917986
13555cb40
143690170
15246b8b0
hex18f31b6

26161590 has 144 divisors (see below), whose sum is σ = 80840592. Its totient is φ = 5370624.

The previous prime is 26161573. The next prime is 26161591. The reversal of 26161590 is 9516162.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26161591) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 707052 + ... + 707088.

It is an arithmetic number, because the mean of its divisors is an integer number (561393).

Almost surely, 226161590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26161590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40420296).

26161590 is an abundant number, since it is smaller than the sum of its proper divisors (54679002).

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

26161590 is a wasteful number, since it uses less digits than its factorization.

26161590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 26161590 is about 5114.8401734561. The cubic root of 26161590 is about 296.8620702033.

The spelling of 26161590 in words is "twenty-six million, one hundred sixty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 49 65 70 74 78 91 98 105 111 130 147 182 185 195 210 222 245 259 273 294 370 390 455 481 490 518 546 555 637 735 777 910 962 1110 1274 1295 1365 1369 1443 1470 1554 1813 1911 2405 2590 2730 2738 2886 3185 3367 3626 3822 3885 4107 4810 5439 6370 6734 6845 7215 7770 8214 9065 9555 9583 10101 10878 13690 14430 16835 17797 18130 19110 19166 20202 20535 23569 27195 28749 33670 35594 41070 47138 47915 50505 53391 54390 57498 67081 70707 88985 95830 101010 106782 117845 124579 134162 141414 143745 177970 201243 235690 249158 266955 287490 335405 353535 373737 402486 533910 622895 670810 707070 747474 872053 1006215 1245790 1744106 1868685 2012430 2616159 3737370 4360265 5232318 8720530 13080795 26161590