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14997120 = 273573107
BaseRepresentation
bin111001001101…
…011010000000
31001012221011220
4321031122000
512314401440
61253235040
7241321245
oct71153200
931187156
1014997120
118513616
125032a80
133151248
141dc55cc
1514b38d0
hexe4d680

14997120 has 128 divisors (see below), whose sum is σ = 48911040. Its totient is φ = 3907584.

The previous prime is 14997119. The next prime is 14997121. The reversal of 14997120 is 2179941.

It is an interprime number because it is at equal distance from previous prime (14997119) and next prime (14997121).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (14997121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140107 + ... + 140213.

Almost surely, 214997120 is an apocalyptic number.

14997120 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 14997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455520).

14997120 is an abundant number, since it is smaller than the sum of its proper divisors (33913920).

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

14997120 is a wasteful number, since it uses less digits than its factorization.

14997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 14997120 is about 3872.6115219578. The cubic root of 14997120 is about 246.6054226655.

The spelling of 14997120 in words is "fourteen million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 107 120 128 146 160 192 214 219 240 292 320 321 365 384 428 438 480 535 584 640 642 730 856 876 960 1070 1095 1168 1284 1460 1605 1712 1752 1920 2140 2190 2336 2568 2920 3210 3424 3504 4280 4380 4672 5136 5840 6420 6848 7008 7811 8560 8760 9344 10272 11680 12840 13696 14016 15622 17120 17520 20544 23360 23433 25680 28032 31244 34240 35040 39055 41088 46720 46866 51360 62488 68480 70080 78110 93732 102720 117165 124976 140160 156220 187464 205440 234330 249952 312440 374928 468660 499904 624880 749856 937320 999808 1249760 1499712 1874640 2499520 2999424 3749280 4999040 7498560 14997120