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26232640 = 26573239
BaseRepresentation
bin110010000010…
…0011101000000
31211100202102021
41210010131000
523203421030
62334131224
7435655000
oct144043500
954322367
1026232640
1113897a75
128950b14
135586295
1436ac000
15248297a
hex1904740

26232640 has 112 divisors (see below), whose sum is σ = 73152000. Its totient is φ = 8956416.

The previous prime is 26232631. The next prime is 26232641. The reversal of 26232640 is 4623262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26232641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109641 + ... + 109879.

Almost surely, 226232640 is an apocalyptic number.

26232640 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 26232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576000).

26232640 is an abundant number, since it is smaller than the sum of its proper divisors (46919360).

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

26232640 is an equidigital number, since it uses as much as digits as its factorization.

26232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 26232640 is about 5121.7809402590. The cubic root of 26232640 is about 297.1305679617.

The spelling of 26232640 in words is "twenty-six million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 239 245 280 320 343 392 448 478 490 560 686 784 956 980 1120 1195 1372 1568 1673 1715 1912 1960 2240 2390 2744 3136 3346 3430 3824 3920 4780 5488 6692 6860 7648 7840 8365 9560 10976 11711 13384 13720 15296 15680 16730 19120 21952 23422 26768 27440 33460 38240 46844 53536 54880 58555 66920 76480 81977 93688 107072 109760 117110 133840 163954 187376 234220 267680 327908 374752 409885 468440 535360 655816 749504 819770 936880 1311632 1639540 1873760 2623264 3279080 3747520 5246528 6558160 13116320 26232640