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14538940 = 22513199281
BaseRepresentation
bin110111011101…
…100010111100
31000100122200021
4313131202330
512210221230
61235341524
7234402403
oct67354274
930318607
1014538940
118230359
124a518a4
133020830
141d0663a
151422c7a
hexddd8bc

14538940 has 48 divisors (see below), whose sum is σ = 33163200. Its totient is φ = 5322240.

The previous prime is 14538929. The next prime is 14538943. The reversal of 14538940 is 4983541.

It is a super-2 number, since 2×145389402 = 422761552647200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14538896 and 14538905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14538943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51600 + ... + 51880.

It is an arithmetic number, because the mean of its divisors is an integer number (690900).

Almost surely, 214538940 is an apocalyptic number.

14538940 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 14538940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581600).

14538940 is an abundant number, since it is smaller than the sum of its proper divisors (18624260).

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

14538940 is a wasteful number, since it uses less digits than its factorization.

14538940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 14538940 is about 3812.9961972181. The cubic root of 14538940 is about 244.0680406861.

The spelling of 14538940 in words is "fourteen million, five hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 199 260 281 398 562 796 995 1124 1405 1990 2587 2810 3653 3980 5174 5620 7306 10348 12935 14612 18265 25870 36530 51740 55919 73060 111838 223676 279595 559190 726947 1118380 1453894 2907788 3634735 7269470 14538940