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14620480 = 265761107
BaseRepresentation
bin110111110001…
…011101000000
31000111210112021
4313301131000
512220323410
61241211224
7235162210
oct67613500
930453467
1014620480
118286646
124a90b14
13304b994
141d28240
15143beda
hexdf1740

14620480 has 112 divisors (see below), whose sum is σ = 40818816. Its totient is φ = 4884480.

The previous prime is 14620469. The next prime is 14620511. The reversal of 14620480 is 8402641.

14620480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 136587 + ... + 136693.

Almost surely, 214620480 is an apocalyptic number.

14620480 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 14620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409408).

14620480 is an abundant number, since it is smaller than the sum of its proper divisors (26198336).

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

14620480 is a wasteful number, since it uses less digits than its factorization.

14620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 14620480 is about 3823.6736262396. The cubic root of 14620480 is about 244.5234663403.

The spelling of 14620480 in words is "fourteen million, six hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 107 112 122 140 160 214 224 244 280 305 320 427 428 448 488 535 560 610 749 854 856 976 1070 1120 1220 1498 1708 1712 1952 2135 2140 2240 2440 2996 3416 3424 3745 3904 4270 4280 4880 5992 6527 6832 6848 7490 8540 8560 9760 11984 13054 13664 14980 17080 17120 19520 23968 26108 27328 29960 32635 34160 34240 45689 47936 52216 59920 65270 68320 91378 104432 119840 130540 136640 182756 208864 228445 239680 261080 365512 417728 456890 522160 731024 913780 1044320 1462048 1827560 2088640 2924096 3655120 7310240 14620480