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13487968 = 251332423
BaseRepresentation
bin110011011100…
…111101100000
3221101021000101
4303130331200
511423103333
61201032144
7222434344
oct63347540
927337011
1013487968
11768278a
124625654
132a43360
141b11624
1512b667d
hexcdcf60

13487968 has 24 divisors (see below), whose sum is σ = 28597968. Its totient is φ = 6225024.

The previous prime is 13487963. The next prime is 13487977. The reversal of 13487968 is 86978431.

It is a happy number.

It is a super-3 number, since 3×134879683 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13487963) 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 3 ways as a sum of consecutive naturals, for example, 15796 + ... + 16627.

It is an arithmetic number, because the mean of its divisors is an integer number (1191582).

Almost surely, 213487968 is an apocalyptic number.

It is an amenable number.

13487968 is an abundant number, since it is smaller than the sum of its proper divisors (15110000).

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

13487968 is a wasteful number, since it uses less digits than its factorization.

13487968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32446 (or 32438 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 13487968 is about 3672.5969013765. The cubic root of 13487968 is about 238.0393974748.

It can be divided in two parts, 1348 and 7968, that added together give a triangular number (9316 = T136).

The spelling of 13487968 in words is "thirteen million, four hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 32423 64846 129692 259384 421499 518768 842998 1037536 1685996 3371992 6743984 13487968