Search a number
-
+
26335530 = 2345134161
BaseRepresentation
bin110010001110…
…1100100101010
31211112222120000
41210131210222
523220214110
62340243430
7436563654
oct144354452
954488500
1026335530
1113958301
1289a0576
1355c1070
1436d76d4
1524a31c0
hex191d92a

26335530 has 160 divisors (see below), whose sum is σ = 79401168. Its totient is φ = 6220800.

The previous prime is 26335511. The next prime is 26335537. The reversal of 26335530 is 3553362.

It can be written as a sum of positive squares in 8 ways, for example, as 110889 + 26224641 = 333^2 + 5121^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26335494 and 26335503.

It is not an unprimeable number, because it can be changed into a prime (26335537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 431700 + ... + 431760.

Almost surely, 226335530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26335530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39700584).

26335530 is an abundant number, since it is smaller than the sum of its proper divisors (53065638).

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

26335530 is a wasteful number, since it uses less digits than its factorization.

26335530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 26335530 is about 5131.8154682334. The cubic root of 26335530 is about 297.5185309644.

Adding to 26335530 its reverse (3553362), we get a palindrome (29888892).

The spelling of 26335530 in words is "twenty-six million, three hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 41 45 54 61 65 78 81 82 90 117 122 123 130 135 162 183 195 205 234 246 270 305 351 366 369 390 405 410 533 549 585 610 615 702 738 793 810 915 1053 1066 1098 1107 1170 1230 1586 1599 1647 1755 1830 1845 2106 2214 2379 2501 2665 2745 3198 3294 3321 3510 3690 3965 4758 4797 4941 5002 5265 5330 5490 5535 6642 7137 7503 7930 7995 8235 9594 9882 10530 11070 11895 12505 14274 14391 15006 15990 16470 16605 21411 22509 23790 23985 24705 25010 28782 32513 33210 35685 37515 42822 43173 45018 47970 49410 64233 65026 67527 71370 71955 75030 86346 97539 107055 112545 128466 135054 143910 162565 195078 202581 214110 215865 225090 292617 321165 325130 337635 405162 431730 487695 585234 642330 675270 877851 975390 1012905 1463085 1755702 2025810 2633553 2926170 4389255 5267106 8778510 13167765 26335530