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14052480 = 273513563
BaseRepresentation
bin110101100110…
…110010000000
3222102221101020
4311212302000
512044134410
61221105440
7230305221
oct65466200
928387336
1014052480
117a28922
124858280
132bb02a0
141c1b248
151378a70
hexd66c80

14052480 has 128 divisors (see below), whose sum is σ = 48323520. Its totient is φ = 3452928.

The previous prime is 14052431. The next prime is 14052491. The reversal of 14052480 is 8425041.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14052480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24679 + ... + 25241.

Almost surely, 214052480 is an apocalyptic number.

14052480 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 14052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24161760).

14052480 is an abundant number, since it is smaller than the sum of its proper divisors (34271040).

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

14052480 is a wasteful number, since it uses less digits than its factorization.

14052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14052480 is about 3748.6637619290. The cubic root of 14052480 is about 241.3150039157.

The spelling of 14052480 in words is "fourteen million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 563 624 640 780 832 960 1040 1126 1248 1560 1664 1689 1920 2080 2252 2496 2815 3120 3378 4160 4504 4992 5630 6240 6756 7319 8320 8445 9008 11260 12480 13512 14638 16890 18016 21957 22520 24960 27024 29276 33780 36032 36595 43914 45040 54048 58552 67560 72064 73190 87828 90080 108096 109785 117104 135120 146380 175656 180160 216192 219570 234208 270240 292760 351312 360320 439140 468416 540480 585520 702624 878280 936832 1080960 1171040 1405248 1756560 2342080 2810496 3513120 4684160 7026240 14052480