Search a number
-
+
26039040 = 28356781
BaseRepresentation
bin110001101010…
…1001100000000
31210222220211220
41203111030000
523131222130
62330035040
7434220366
oct143251400
953886756
1026039040
1113775575
128878a80
135519121
14365b636
152445410
hex18d5300

26039040 has 72 divisors (see below), whose sum is σ = 83174448. Its totient is φ = 6942720.

The previous prime is 26039033. The next prime is 26039047. The reversal of 26039040 is 4093062.

It is an interprime number because it is at equal distance from previous prime (26039033) and next prime (26039047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26039040.

It is not an unprimeable number, because it can be changed into a prime (26039047) 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, 450 + ... + 7230.

Almost surely, 226039040 is an apocalyptic number.

26039040 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 26039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41587224).

26039040 is an abundant number, since it is smaller than the sum of its proper divisors (57135408).

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

26039040 is an equidigital number, since it uses as much as digits as its factorization.

26039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 26039040 is about 5102.8462645861. The cubic root of 26039040 is about 296.3978094145.

The spelling of 26039040 in words is "twenty-six million, thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6781 13562 20343 27124 33905 40686 54248 67810 81372 101715 108496 135620 162744 203430 216992 271240 325488 406860 433984 542480 650976 813720 867968 1084960 1301952 1627440 1735936 2169920 2603904 3254880 4339840 5207808 6509760 8679680 13019520 26039040