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14720080 = 245374973
BaseRepresentation
bin111000001001…
…110001010000
31000200212011011
4320021301100
512232020310
61243300304
7236055454
oct70116120
930625134
1014720080
118344461
124b1a694
13308510b
141d52664
15145b78a
hexe09c50

14720080 has 40 divisors (see below), whose sum is σ = 35156232. Its totient is φ = 5727744.

The previous prime is 14720059. The next prime is 14720089. The reversal of 14720080 is 8002741.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 9684544 = 2244^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14720089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 5446.

Almost surely, 214720080 is an apocalyptic number.

14720080 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 14720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17578116).

14720080 is an abundant number, since it is smaller than the sum of its proper divisors (20436152).

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

14720080 is a wasteful number, since it uses less digits than its factorization.

14720080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 14720080 is about 3836.6756443567. The cubic root of 14720080 is about 245.0774709885.

The spelling of 14720080 in words is "fourteen million, seven hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4973 9946 19892 24865 39784 49730 79568 99460 184001 198920 368002 397840 736004 920005 1472008 1840010 2944016 3680020 7360040 14720080