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14203680 = 2535127233
BaseRepresentation
bin110110001011…
…101100100000
3222201121210020
4312023230200
512114004210
61224233440
7231505101
oct66135440
928647706
1014203680
118021487
12490b880
132c3405a
141c5a3a8
1513a8770
hexd8bb20

14203680 has 96 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 3741696.

The previous prime is 14203669. The next prime is 14203691. The reversal of 14203680 is 8630241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14203669) and next prime (14203691).

It is a tau number, because it is divible by the number of its divisors (96).

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 14203680.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60844 + ... + 61076.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 214203680 is an apocalyptic number.

14203680 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 14203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

14203680 is an abundant number, since it is smaller than the sum of its proper divisors (31083744).

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

14203680 is a wasteful number, since it uses less digits than its factorization.

14203680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14203680 is about 3768.7769899531. The cubic root of 14203680 is about 242.1774078764.

The spelling of 14203680 in words is "fourteen million, two hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 233 240 254 381 466 480 508 635 699 762 932 1016 1165 1270 1398 1524 1864 1905 2032 2330 2540 2796 3048 3495 3728 3810 4064 4660 5080 5592 6096 6990 7456 7620 9320 10160 11184 12192 13980 15240 18640 20320 22368 27960 29591 30480 37280 55920 59182 60960 88773 111840 118364 147955 177546 236728 295910 355092 443865 473456 591820 710184 887730 946912 1183640 1420368 1775460 2367280 2840736 3550920 4734560 7101840 14203680