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26506240 = 210531167
BaseRepresentation
bin110010100011…
…1010000000000
31211212122201121
41211013100000
523241144430
62344042024
7441204445
oct145072000
954778647
1026506240
1113a64592
128a63314
135650987
14373d9cc
1524d8a7a
hex1947400

26506240 has 88 divisors (see below), whose sum is σ = 66028032. Its totient is φ = 10199040.

The previous prime is 26506237. The next prime is 26506241. The reversal of 26506240 is 4260562.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26506241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158637 + ... + 158803.

Almost surely, 226506240 is an apocalyptic number.

26506240 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 26506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014016).

26506240 is an abundant number, since it is smaller than the sum of its proper divisors (39521792).

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

26506240 is a wasteful number, since it uses less digits than its factorization.

26506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 26506240 is about 5148.4211171970. The cubic root of 26506240 is about 298.1599969610.

The spelling of 26506240 in words is "twenty-six million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 167 248 256 310 320 334 496 512 620 640 668 835 992 1024 1240 1280 1336 1670 1984 2480 2560 2672 3340 3968 4960 5120 5177 5344 6680 7936 9920 10354 10688 13360 15872 19840 20708 21376 25885 26720 31744 39680 41416 42752 51770 53440 79360 82832 85504 103540 106880 158720 165664 171008 207080 213760 331328 414160 427520 662656 828320 855040 1325312 1656640 2650624 3313280 5301248 6626560 13253120 26506240