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26530740 = 2235553103
BaseRepresentation
bin110010100110…
…1001110110100
31211220220100000
41211031032310
523242440430
62344351300
7441336045
oct145151664
954826300
1026530740
1113a80a35
128a75530
13565bb82
1437488cc
1524e0e60
hex194d3b4

26530740 has 144 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 6873984.

The previous prime is 26530733. The next prime is 26530741. The reversal of 26530740 is 4703562.

It is a happy number.

26530740 is a `hidden beast` number, since 2 + 653 + 0 + 7 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26530741) 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, 257529 + ... + 257631.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 226530740 is an apocalyptic number.

26530740 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 26530740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

26530740 is an abundant number, since it is smaller than the sum of its proper divisors (59326668).

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

26530740 is a wasteful number, since it uses less digits than its factorization.

26530740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 26530740 is about 5150.7999378737. The cubic root of 26530740 is about 298.2518328257.

The spelling of 26530740 in words is "twenty-six million, five hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 103 106 108 135 159 162 180 206 212 243 265 270 309 318 324 405 412 477 486 515 530 540 618 636 795 810 927 954 972 1030 1060 1215 1236 1431 1545 1590 1620 1854 1908 2060 2385 2430 2781 2862 3090 3180 3708 4293 4635 4770 4860 5459 5562 5724 6180 7155 8343 8586 9270 9540 10918 11124 12879 13905 14310 16377 16686 17172 18540 21465 21836 25029 25758 27295 27810 28620 32754 33372 41715 42930 49131 50058 51516 54590 55620 64395 65508 81885 83430 85860 98262 100116 109180 125145 128790 147393 163770 166860 196524 245655 250290 257580 294786 327540 442179 491310 500580 589572 736965 884358 982620 1326537 1473930 1768716 2210895 2653074 2947860 4421790 5306148 6632685 8843580 13265370 26530740