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14989120 = 265311511
BaseRepresentation
bin111001001011…
…011101000000
31001012112012121
4321023131000
512314122440
61253134024
7241256026
oct71133500
931175177
1014989120
118508603
12502a314
13314a703
141dc2716
1514b134a
hexe4b740

14989120 has 56 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 5798400.

The previous prime is 14989109. The next prime is 14989129. The reversal of 14989120 is 2198941.

14989120 = T360 + T361 + ... + T514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14989129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9165 + ... + 10675.

It is an arithmetic number, because the mean of its divisors is an integer number (658368).

Almost surely, 214989120 is an apocalyptic number.

14989120 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 14989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

14989120 is an abundant number, since it is smaller than the sum of its proper divisors (21879488).

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

14989120 is a wasteful number, since it uses less digits than its factorization.

14989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 14989120 is about 3871.5784894536. The cubic root of 14989120 is about 246.5615654831.

The spelling of 14989120 in words is "fourteen million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1511 1984 2480 3022 4960 6044 7555 9920 12088 15110 24176 30220 46841 48352 60440 93682 96704 120880 187364 234205 241760 374728 468410 483520 749456 936820 1498912 1873640 2997824 3747280 7494560 14989120