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13479947 = 13231283
BaseRepresentation
bin110011011011…
…000000001011
3221100212000022
4303123000023
511422324242
61200531055
7222402065
oct63330013
927325008
1013479947
117677758
124620a8b
132a3c800
141b0c735
1512b40d2
hexcdb00b

13479947 has 18 divisors (see below), whose sum is σ = 15264396. Its totient is φ = 11896560.

The previous prime is 13479943. The next prime is 13479979. The reversal of 13479947 is 74997431.

It is a happy number.

It is not a de Polignac number, because 13479947 - 22 = 13479943 is a prime.

It is a super-3 number, since 3×134799473 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13479898 and 13479907.

It is not an unprimeable number, because it can be changed into a prime (13479943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 162368 + ... + 162450.

It is an arithmetic number, because the mean of its divisors is an integer number (848022).

Almost surely, 213479947 is an apocalyptic number.

13479947 is a deficient number, since it is larger than the sum of its proper divisors (1784449).

13479947 is an equidigital number, since it uses as much as digits as its factorization.

13479947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 127 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 13479947 is about 3671.5047323952. The cubic root of 13479947 is about 237.9922025080.

The spelling of 13479947 in words is "thirteen million, four hundred seventy-nine thousand, nine hundred forty-seven".

Divisors: 1 13 31 83 169 403 961 1079 2573 5239 12493 14027 33449 79763 162409 434837 1036919 13479947