Search a number
-
+
26057370 = 2352961491
BaseRepresentation
bin110001101100…
…1101010011010
31211000211222210
41203121222122
523132313440
62330255550
7434325003
oct143315232
954024883
1026057370
1113788319
1288875b6
135524581
1436641aa
15244aa80
hex18d9a9a

26057370 has 64 divisors (see below), whose sum is σ = 65888640. Its totient is φ = 6585600.

The previous prime is 26057363. The next prime is 26057393. The reversal of 26057370 is 7375062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 52825 + ... + 53315.

It is an arithmetic number, because the mean of its divisors is an integer number (1029510).

Almost surely, 226057370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26057370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944320).

26057370 is an abundant number, since it is smaller than the sum of its proper divisors (39831270).

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

26057370 is a wasteful number, since it uses less digits than its factorization.

26057370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 26057370 is about 5104.6420050773. The cubic root of 26057370 is about 296.4673421560.

It can be divided in two parts, 260 and 57370, that added together give a triangular number (57630 = T339).

The spelling of 26057370 in words is "twenty-six million, fifty-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 61 87 122 145 174 183 290 305 366 435 491 610 870 915 982 1473 1769 1830 2455 2946 3538 4910 5307 7365 8845 10614 14239 14730 17690 26535 28478 29951 42717 53070 59902 71195 85434 89853 142390 149755 179706 213585 299510 427170 449265 868579 898530 1737158 2605737 4342895 5211474 8685790 13028685 26057370