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14745480 = 23351031193
BaseRepresentation
bin111000001111…
…111110001000
31000202010222220
4320033332020
512233323410
61244014040
7236222511
oct70177610
930663886
1014745480
118361552
124b31320
133093849
141d5ba08
151464070
hexe0ff88

14745480 has 64 divisors (see below), whose sum is σ = 44703360. Its totient is φ = 3890688.

The previous prime is 14745473. The next prime is 14745481. The reversal of 14745480 is 8454741.

It is not an unprimeable number, because it can be changed into a prime (14745481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11764 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (698490).

Almost surely, 214745480 is an apocalyptic number.

14745480 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 14745480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351680).

14745480 is an abundant number, since it is smaller than the sum of its proper divisors (29957880).

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

14745480 is a wasteful number, since it uses less digits than its factorization.

14745480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 14745480 is about 3839.9843749682. The cubic root of 14745480 is about 245.2183531650.

It can be divided in two parts, 14745 and 480, that added together give a triangular number (15225 = T174).

The spelling of 14745480 in words is "fourteen million, seven hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1193 1236 1545 2060 2386 2472 3090 3579 4120 4772 5965 6180 7158 9544 11930 12360 14316 17895 23860 28632 35790 47720 71580 122879 143160 245758 368637 491516 614395 737274 983032 1228790 1474548 1843185 2457580 2949096 3686370 4915160 7372740 14745480