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26992640 = 2135659
BaseRepresentation
bin110011011111…
…0000000000000
31212210100221102
41212332000000
523402231030
62402313532
7445301513
oct146760000
955710842
1026992640
1114266a74
1290588a8
13579119c
143828d7a
152582c45
hex19be000

26992640 has 56 divisors (see below), whose sum is σ = 64876680. Its totient is φ = 10780672.

The previous prime is 26992633. The next prime is 26992643. The reversal of 26992640 is 4629962.

It is a super-2 number, since 2×269926402 = 1457205228339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26992594 and 26992603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26992643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40631 + ... + 41289.

Almost surely, 226992640 is an apocalyptic number.

26992640 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 26992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32438340).

26992640 is an abundant number, since it is smaller than the sum of its proper divisors (37884040).

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

26992640 is an frugal number, since it uses more digits than its factorization.

26992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 26992640 is about 5195.4441581062. Note that the first 3 decimals coincide. The cubic root of 26992640 is about 299.9727382635.

The spelling of 26992640 in words is "twenty-six million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 659 1024 1280 1318 2048 2560 2636 3295 4096 5120 5272 6590 8192 10240 10544 13180 20480 21088 26360 40960 42176 52720 84352 105440 168704 210880 337408 421760 674816 843520 1349632 1687040 2699264 3374080 5398528 6748160 13496320 26992640