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14988160 = 275112129
BaseRepresentation
bin111001001011…
…001110000000
31001012110220001
4321023032000
512314110120
61253125344
7241253155
oct71131600
931173801
1014988160
118507910
125029854
13314a145
141dc222c
1514b0e0a
hexe4b380

14988160 has 64 divisors (see below), whose sum is σ = 39106800. Its totient is φ = 5447680.

The previous prime is 14988139. The next prime is 14988161. The reversal of 14988160 is 6188941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14988161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5976 + ... + 8104.

Almost surely, 214988160 is an apocalyptic number.

14988160 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 14988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19553400).

14988160 is an abundant number, since it is smaller than the sum of its proper divisors (24118640).

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

14988160 is a wasteful number, since it uses less digits than its factorization.

14988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 14988160 is about 3871.4545070296. The cubic root of 14988160 is about 246.5563015727.

It can be divided in two parts, 149881 and 60, that added together give a palindrome (149941).

The spelling of 14988160 in words is "fourteen million, nine hundred eighty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2129 3520 4258 7040 8516 10645 17032 21290 23419 34064 42580 46838 68128 85160 93676 117095 136256 170320 187352 234190 272512 340640 374704 468380 681280 749408 936760 1362560 1498816 1873520 2997632 3747040 7494080 14988160