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12949440 = 263574147
BaseRepresentation
bin110001011001…
…011111000000
3220100220021220
4301121133000
511303340230
61141315040
7215032320
oct61313700
926326256
1012949440
117345119
124405a80
1328b51ba
141a11280
15120bd10
hexc597c0

12949440 has 224 divisors, whose sum is σ = 49158144. Its totient is φ = 2826240.

The previous prime is 12949439. The next prime is 12949463. The reversal of 12949440 is 4494921.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 275497 + ... + 275543.

It is an arithmetic number, because the mean of its divisors is an integer number (219456).

Almost surely, 212949440 is an apocalyptic number.

12949440 is a gapful number since it is divisible by the number (10) 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 12949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).

12949440 is an abundant number, since it is smaller than the sum of its proper divisors (36208704).

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

12949440 is a wasteful number, since it uses less digits than its factorization.

12949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12949440 is about 3598.5330344461. The cubic root of 12949440 is about 234.8282432914.

The spelling of 12949440 in words is "twelve million, nine hundred forty-nine thousand, four hundred forty".