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12940590 = 2351333181
BaseRepresentation
bin110001010111…
…010100101110
3220100110011010
4301113110232
511303044330
61141210050
7214664445
oct61272456
926313133
1012940590
117339503
124400926
1328b1170
141a0bd5c
1512093b0
hexc5752e

12940590 has 32 divisors (see below), whose sum is σ = 33447456. Its totient is φ = 3185280.

The previous prime is 12940579. The next prime is 12940591. The reversal of 12940590 is 9504921.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12940591) 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 15 ways as a sum of consecutive naturals, for example, 16201 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (1045233).

Almost surely, 212940590 is an apocalyptic number.

12940590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12940590 is an abundant number, since it is smaller than the sum of its proper divisors (20506866).

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

12940590 is a wasteful number, since it uses less digits than its factorization.

12940590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33204.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12940590 is about 3597.3031565327. The cubic root of 12940590 is about 234.7747350941.

It can be divided in two parts, 12940 and 590, that added together give a triangular number (13530 = T164).

The spelling of 12940590 in words is "twelve million, nine hundred forty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 33181 66362 99543 165905 199086 331810 431353 497715 862706 995430 1294059 2156765 2588118 4313530 6470295 12940590