Search a number
-
+
26012640 = 253554193
BaseRepresentation
bin110001100111…
…0101111100000
31210221120122010
41203032233200
523124401030
62325312520
7434050413
oct143165740
953846563
1026012640
1113757755
128865740
13550a0c4
143651b7a
15243c6b0
hex18cebe0

26012640 has 48 divisors (see below), whose sum is σ = 81941328. Its totient is φ = 6936576.

The previous prime is 26012639. The next prime is 26012641. The reversal of 26012640 is 4621062.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26012639) and next prime (26012641).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26012641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26617 + ... + 27576.

It is an arithmetic number, because the mean of its divisors is an integer number (1707111).

Almost surely, 226012640 is an apocalyptic number.

26012640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26012640 is an abundant number, since it is smaller than the sum of its proper divisors (55928688).

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

26012640 is a wasteful number, since it uses less digits than its factorization.

26012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54211 (or 54203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 26012640 is about 5100.2588169621. The cubic root of 26012640 is about 296.2976066917.

The spelling of 26012640 in words is "twenty-six million, twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 54193 108386 162579 216772 270965 325158 433544 541930 650316 812895 867088 1083860 1300632 1625790 1734176 2167720 2601264 3251580 4335440 5202528 6503160 8670880 13006320 26012640