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14143680 = 263351637
BaseRepresentation
bin110101111101…
…000011000000
3222121120111000
4311331003000
512110044210
61223052000
7231135135
oct65750300
928546430
1014143680
117a903a1
1248a1000
132c12955
141c4258c
151395ac0
hexd7d0c0

14143680 has 112 divisors (see below), whose sum is σ = 49926240. Its totient is φ = 3769344.

The previous prime is 14143669. The next prime is 14143681. The reversal of 14143680 is 8634141.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14143681) 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 15 ways as a sum of consecutive naturals, for example, 7822 + ... + 9458.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 214143680 is an apocalyptic number.

14143680 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 14143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

14143680 is an abundant number, since it is smaller than the sum of its proper divisors (35782560).

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

14143680 is a wasteful number, since it uses less digits than its factorization.

14143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14143680 is about 3760.8084237302. The cubic root of 14143680 is about 241.8359200127.

The spelling of 14143680 in words is "fourteen million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1637 1728 2160 2880 3274 4320 4911 6548 8185 8640 9822 13096 14733 16370 19644 24555 26192 29466 32740 39288 44199 49110 52384 58932 65480 73665 78576 88398 98220 104768 117864 130960 147330 157152 176796 196440 220995 235728 261920 294660 314304 353592 392880 441990 471456 523840 589320 707184 785760 883980 942912 1178640 1414368 1571520 1767960 2357280 2828736 3535920 4714560 7071840 14143680