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26138430 = 2335131739
BaseRepresentation
bin110001110110…
…1011100111110
31211011222012000
41203231130332
523142412210
62332123130
7435113223
oct143553476
954158160
1026138430
111383320a
1289064a6
135552436
14368594a
152464ac0
hex18ed73e

26138430 has 64 divisors (see below), whose sum is σ = 70329600. Its totient is φ = 6907680.

The previous prime is 26138429. The next prime is 26138447. The reversal of 26138430 is 3483162.

It is a happy number.

26138430 is a `hidden beast` number, since 2 + 613 + 8 + 43 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26138394 and 26138403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35001 + ... + 35739.

It is an arithmetic number, because the mean of its divisors is an integer number (1098900).

Almost surely, 226138430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26138430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164800).

26138430 is an abundant number, since it is smaller than the sum of its proper divisors (44191170).

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

26138430 is a wasteful number, since it uses less digits than its factorization.

26138430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

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

The square root of 26138430 is about 5112.5756718116. The cubic root of 26138430 is about 296.7744435799.

The spelling of 26138430 in words is "twenty-six million, one hundred thirty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 655 739 786 1179 1310 1478 1965 2217 2358 3537 3695 3930 4434 5895 6651 7074 7390 11085 11790 13302 17685 19953 22170 33255 35370 39906 66510 96809 99765 193618 199530 290427 484045 580854 871281 968090 1452135 1742562 2613843 2904270 4356405 5227686 8712810 13069215 26138430