Search a number
-
+
26430138 = 235717457
BaseRepresentation
bin110010011010…
…0101010111010
31211201210100000
41210310222322
523231231023
62342253430
7440436540
oct144645272
954653300
1026430138
1113a12399
128a27276
135625147
14371dd90
1524c1243
hex1934aba

26430138 has 96 divisors (see below), whose sum is σ = 72019584. Its totient is φ = 7091712.

The previous prime is 26430133. The next prime is 26430139. The reversal of 26430138 is 83103462.

It is a happy number.

26430138 is a `hidden beast` number, since 2 + 643 + 0 + 13 + 8 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26430133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57606 + ... + 58062.

It is an arithmetic number, because the mean of its divisors is an integer number (750204).

Almost surely, 226430138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26430138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009792).

26430138 is an abundant number, since it is smaller than the sum of its proper divisors (45589446).

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

26430138 is a wasteful number, since it uses less digits than its factorization.

26430138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26430138 is about 5141.0249950764. The cubic root of 26430138 is about 297.8743746269.

The spelling of 26430138 in words is "twenty-six million, four hundred thirty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 457 459 486 567 714 914 918 1071 1134 1371 1377 1701 2142 2742 2754 3199 3213 3402 4113 4131 6398 6426 7769 8226 8262 9597 9639 12339 15538 19194 19278 23307 24678 28791 28917 37017 46614 54383 57582 57834 69921 74034 86373 108766 111051 139842 163149 172746 209763 222102 259119 326298 419526 489447 518238 629289 777357 978894 1258578 1468341 1554714 1887867 2936682 3775734 4405023 8810046 13215069 26430138