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14797440 = 273257367
BaseRepresentation
bin111000011100…
…101010000000
31000211210021100
4320130222000
512242004230
61245054400
7236530140
oct70345200
930753240
1014797440
118397599
124b57400
1330b13a8
141d72920
151474660
hexe1ca80

14797440 has 192 divisors, whose sum is σ = 58556160. Its totient is φ = 3373056.

The previous prime is 14797439. The next prime is 14797451. The reversal of 14797440 is 4479741.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14797395 and 14797404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40137 + ... + 40503.

It is an arithmetic number, because the mean of its divisors is an integer number (304980).

Almost surely, 214797440 is an apocalyptic number.

14797440 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 14797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278080).

14797440 is an abundant number, since it is smaller than the sum of its proper divisors (43758720).

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

14797440 is a wasteful number, since it uses less digits than its factorization.

14797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14797440 is about 3846.7440777884. The cubic root of 14797440 is about 245.5060483022.

The spelling of 14797440 in words is "fourteen million, seven hundred ninety-seven thousand, four hundred forty".