Search a number
-
+
26307630 = 23252371179
BaseRepresentation
bin110010001011…
…0110000101110
31211111120021200
41210112300232
523213321010
62335510330
7436416426
oct144266056
954446250
1026307630
1113939348
1289883a6
1355b145b
1436cb486
152499cc0
hex1916c2e

26307630 has 96 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 6578880.

The previous prime is 26307613. The next prime is 26307641. The reversal of 26307630 is 3670362.

26307630 is a `hidden beast` number, since 26 + 3 + 0 + 7 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26307594 and 26307603.

It is a congruent number.

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, 146881 + ... + 147059.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 226307630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26307630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

26307630 is an abundant number, since it is smaller than the sum of its proper divisors (46475730).

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

26307630 is a wasteful number, since it uses less digits than its factorization.

26307630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 26307630 is about 5129.0964116499. The cubic root of 26307630 is about 297.4134296048.

Adding to 26307630 its reverse (3670362), we get a palindrome (29977992).

The spelling of 26307630 in words is "twenty-six million, three hundred seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 179 207 213 230 345 355 358 414 426 537 639 690 710 895 1035 1065 1074 1278 1611 1633 1790 2070 2130 2685 3195 3222 3266 4117 4899 5370 6390 8055 8165 8234 9798 12351 12709 14697 16110 16330 20585 24495 24702 25418 29394 37053 38127 41170 48990 61755 63545 73485 74106 76254 114381 123510 127090 146970 185265 190635 228762 292307 370530 381270 571905 584614 876921 1143810 1461535 1753842 2630763 2923070 4384605 5261526 8769210 13153815 26307630