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12604320 = 253258753
BaseRepresentation
bin110000000101…
…001110100000
3212201100212200
4300011032200
511211314240
61130053200
7212064201
oct60051640
925640780
1012604320
1171298a3
12427a200
1327c40a1
1419615a8
15118e930
hexc053a0

12604320 has 72 divisors (see below), whose sum is σ = 43017156. Its totient is φ = 3360768.

The previous prime is 12604313. The next prime is 12604337. The reversal of 12604320 is 2340621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 242064 = 3516^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12604293 and 12604302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2937 + ... + 5816.

Almost surely, 212604320 is an apocalyptic number.

12604320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12604320 is an abundant number, since it is smaller than the sum of its proper divisors (30412836).

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

12604320 is a wasteful number, since it uses less digits than its factorization.

12604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12604320 is about 3550.2563287740. The cubic root of 12604320 is about 232.7232680123.

Adding to 12604320 its reverse (2340621), we get a palindrome (14944941).

The spelling of 12604320 in words is "twelve million, six hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8753 17506 26259 35012 43765 52518 70024 78777 87530 105036 131295 140048 157554 175060 210072 262590 280096 315108 350120 393885 420144 525180 630216 700240 787770 840288 1050360 1260432 1400480 1575540 2100720 2520864 3151080 4201440 6302160 12604320