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14774480 = 245723769
BaseRepresentation
bin111000010111…
…000011010000
31000210121202222
4320113003100
512240240410
61244400212
7236403200
oct70270320
930717688
1014774480
118381316
124b46068
1330a3ac6
141d68400
15146c955
hexe170d0

14774480 has 60 divisors (see below), whose sum is σ = 39969540. Its totient is φ = 5064192.

The previous prime is 14774477. The next prime is 14774489. The reversal of 14774480 is 8447741.

It can be written as a sum of positive squares in 2 ways, for example, as 8976016 + 5798464 = 2996^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14774480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14774489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2036 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (666159).

Almost surely, 214774480 is an apocalyptic number.

14774480 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 14774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984770).

14774480 is an abundant number, since it is smaller than the sum of its proper divisors (25195060).

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

14774480 is a wasteful number, since it uses less digits than its factorization.

14774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 14774480 is about 3843.7585772262. The cubic root of 14774480 is about 245.3790052284.

The spelling of 14774480 in words is "fourteen million, seven hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3769 3920 7538 15076 18845 26383 30152 37690 52766 60304 75380 105532 131915 150760 184681 211064 263830 301520 369362 422128 527660 738724 923405 1055320 1477448 1846810 2110640 2954896 3693620 7387240 14774480