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12709152 = 253244129
BaseRepresentation
bin110000011110…
…110100100000
3212220200200100
4300132310200
511223143102
61132222400
7213011631
oct60366440
925820610
1012709152
1171a0635
12430aa00
13282ca11
14198b888
1511b0a1c
hexc1ed20

12709152 has 36 divisors (see below), whose sum is σ = 36142470. Its totient is φ = 4236288.

The previous prime is 12709141. The next prime is 12709199. The reversal of 12709152 is 25190721.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 7056 = 3564^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21777 + ... + 22352.

Almost surely, 212709152 is an apocalyptic number.

12709152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12709152 is an abundant number, since it is smaller than the sum of its proper divisors (23433318).

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

12709152 is a wasteful number, since it uses less digits than its factorization.

12709152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44145 (or 44134 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12709152 is about 3564.9897615561. The cubic root of 12709152 is about 233.3666854819.

Adding to 12709152 its reverse (25190721), we get a palindrome (37899873).

The spelling of 12709152 in words is "twelve million, seven hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44129 88258 132387 176516 264774 353032 397161 529548 706064 794322 1059096 1412128 1588644 2118192 3177288 4236384 6354576 12709152