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26731530 = 23257151281
BaseRepresentation
bin110010111111…
…0010000001010
31212022002202200
41211332100022
523320402110
62352541030
7443133330
oct145762012
955262680
1026731530
11140a8881
128b51776
1356cc397
14379bb50
1525306c0
hex197e40a

26731530 has 96 divisors (see below), whose sum is σ = 80241408. Its totient is φ = 6048000.

The previous prime is 26731493. The next prime is 26731541. The reversal of 26731530 is 3513762.

It is a happy number.

It is a super-2 number, since 2×267315302 = 1429149392281800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26731494 and 26731503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94990 + ... + 95270.

It is an arithmetic number, because the mean of its divisors is an integer number (835848).

Almost surely, 226731530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26731530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40120704).

26731530 is an abundant number, since it is smaller than the sum of its proper divisors (53509878).

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

26731530 is a wasteful number, since it uses less digits than its factorization.

26731530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 26731530 is about 5170.2543457745. The cubic root of 26731530 is about 299.0023526770.

It can be divided in two parts, 26731 and 530, that added together give a triangular number (27261 = T233).

The spelling of 26731530 in words is "twenty-six million, seven hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 281 302 315 453 562 630 755 843 906 1057 1359 1405 1510 1686 1967 2114 2265 2529 2718 2810 3171 3934 4215 4530 5058 5285 5901 6342 6795 8430 9513 9835 10570 11802 12645 13590 15855 17703 19026 19670 25290 29505 31710 35406 42431 47565 59010 84862 88515 95130 127293 177030 212155 254586 297017 381879 424310 594034 636465 763758 891051 1272930 1485085 1782102 1909395 2673153 2970170 3818790 4455255 5346306 8910510 13365765 26731530