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15014112 = 253295393
BaseRepresentation
bin111001010001…
…100011100000
31001020210111020
4321101203200
512320422422
61253445440
7241421631
oct71214340
931223436
1015014112
118525363
125040880
133158bb9
141dcb888
1514b895c
hexe518e0

15014112 has 48 divisors (see below), whose sum is σ = 40778640. Its totient is φ = 4831232.

The previous prime is 15014107. The next prime is 15014171. The reversal of 15014112 is 21141051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 15014091 and 15014100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (849555).

Almost surely, 215014112 is an apocalyptic number.

15014112 is a gapful number since it is divisible by the number (12) 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 15014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389320).

15014112 is an abundant number, since it is smaller than the sum of its proper divisors (25764528).

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

15014112 is a wasteful number, since it uses less digits than its factorization.

15014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 15014112 is about 3874.8047692755. The cubic root of 15014112 is about 246.6985236024.

Adding to 15014112 its reverse (21141051), we get a palindrome (36155163).

The spelling of 15014112 in words is "fifteen million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 5393 10786 16179 21572 32358 43144 64716 86288 129432 156397 172576 258864 312794 469191 517728 625588 938382 1251176 1876764 2502352 3753528 5004704 7507056 15014112