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14577140 = 2252941613
BaseRepresentation
bin110111100110…
…110111110100
31000102121002002
4313212313310
512212432030
61240234432
7234621644
oct67466764
930377062
1014577140
118257026
124a6ba18
133035036
141d16524
15142e245
hexde6df4

14577140 has 48 divisors (see below), whose sum is σ = 32492880. Its totient is φ = 5483520.

The previous prime is 14577139. The next prime is 14577203. The reversal of 14577140 is 4177541.

It can be written as a sum of positive squares in 8 ways, for example, as 6120676 + 8456464 = 2474^2 + 2908^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23474 + ... + 24086.

It is an arithmetic number, because the mean of its divisors is an integer number (676935).

Almost surely, 214577140 is an apocalyptic number.

14577140 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 14577140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246440).

14577140 is an abundant number, since it is smaller than the sum of its proper divisors (17915740).

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

14577140 is a wasteful number, since it uses less digits than its factorization.

14577140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 14577140 is about 3818.0020953373. The cubic root of 14577140 is about 244.2816107157.

The spelling of 14577140 in words is "fourteen million, five hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 613 820 1189 1226 2378 2452 3065 4756 5945 6130 11890 12260 17777 23780 25133 35554 50266 71108 88885 100532 125665 177770 251330 355540 502660 728857 1457714 2915428 3644285 7288570 14577140