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14987140 = 2257241373
BaseRepresentation
bin111001001010…
…111110000100
31001012102111021
4321022332010
512314042030
61253120524
7241250200
oct71127604
931172437
1014987140
118507073
125029144
13314983c
141dc1b00
1514b097a
hexe4af84

14987140 has 72 divisors (see below), whose sum is σ = 37604952. Its totient is φ = 4999680.

The previous prime is 14987131. The next prime is 14987153. The reversal of 14987140 is 4178941.

14987140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 14930496 = 238^2 + 3864^2 .

It is a super-2 number, since 2×149871402 = 449228730759200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14987096 and 14987105.

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, 39994 + ... + 40366.

It is an arithmetic number, because the mean of its divisors is an integer number (522291).

Almost surely, 214987140 is an apocalyptic number.

14987140 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 14987140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802476).

14987140 is an abundant number, since it is smaller than the sum of its proper divisors (22617812).

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

14987140 is a wasteful number, since it uses less digits than its factorization.

14987140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 14987140 is about 3871.3227713535. The cubic root of 14987140 is about 246.5507084215.

The spelling of 14987140 in words is "fourteen million, nine hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 373 410 490 574 746 820 980 1148 1435 1492 1865 2009 2611 2870 3730 4018 5222 5740 7460 8036 10045 10444 13055 15293 18277 20090 26110 30586 36554 40180 52220 61172 73108 76465 91385 107051 152930 182770 214102 305860 365540 428204 535255 749357 1070510 1498714 2141020 2997428 3746785 7493570 14987140