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14942124 = 2233314463
BaseRepresentation
bin111000111111…
…111110101100
31001010010202000
4320333332230
512311121444
61252132300
7241002021
oct70777654
931103660
1014942124
11848626a
125007090
1331321c2
141dad548
1514a2469
hexe3ffac

14942124 has 48 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 4818960.

The previous prime is 14942119. The next prime is 14942129. The reversal of 14942124 is 42124941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14942119) and next prime (14942129).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14942129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 214942124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14942124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

14942124 is an abundant number, since it is smaller than the sum of its proper divisors (25055316).

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

14942124 is a wasteful number, since it uses less digits than its factorization.

14942124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4499 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14942124 is about 3865.5043655389. The cubic root of 14942124 is about 246.3036108550.

The spelling of 14942124 in words is "fourteen million, nine hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 4463 8926 13389 17852 26778 40167 53556 80334 120501 138353 160668 241002 276706 415059 482004 553412 830118 1245177 1660236 2490354 3735531 4980708 7471062 14942124