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26946640 = 245748119
BaseRepresentation
bin110011011001…
…0110001010000
31212201000211201
41212302301100
523344243030
62401320544
7445020430
oct146626120
955630751
1026946640
1114235456
129036154
135776276
1438162c0
1525742ca
hex19b2c50

26946640 has 40 divisors (see below), whose sum is σ = 71602560. Its totient is φ = 9238656.

The previous prime is 26946629. The next prime is 26946643. The reversal of 26946640 is 4664962.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×269466402 = 1452242814579200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26946640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26946643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23500 + ... + 24619.

It is an arithmetic number, because the mean of its divisors is an integer number (1790064).

Almost surely, 226946640 is an apocalyptic number.

26946640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26946640 is an abundant number, since it is smaller than the sum of its proper divisors (44655920).

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

26946640 is a wasteful number, since it uses less digits than its factorization.

26946640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48139 (or 48133 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 26946640 is about 5191.0153149456. The cubic root of 26946640 is about 299.8022400357.

The spelling of 26946640 in words is "twenty-six million, nine hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 48119 96238 192476 240595 336833 384952 481190 673666 769904 962380 1347332 1684165 1924760 2694664 3368330 3849520 5389328 6736660 13473320 26946640