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13035978 = 2368941
BaseRepresentation
bin110001101110…
…100111001010
3220112022000000
4301232213022
511314122403
61143223430
7215542524
oct61564712
926468000
1013035978
1173a413a
124447b76
1329156c7
141a34a14
1512277a3
hexc6e9ca

13035978 has 28 divisors (see below), whose sum is σ = 29320818. Its totient is φ = 4344840.

The previous prime is 13035973. The next prime is 13036007. The reversal of 13035978 is 87953031.

It can be written as a sum of positive squares in only one way, i.e., 10323369 + 2712609 = 3213^2 + 1647^2 .

It is not an unprimeable number, because it can be changed into a prime (13035973) 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 13 ways as a sum of consecutive naturals, for example, 3013 + ... + 5928.

Almost surely, 213035978 is an apocalyptic number.

13035978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13035978 is an abundant number, since it is smaller than the sum of its proper divisors (16284840).

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

13035978 is an frugal number, since it uses more digits than its factorization.

13035978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13035978 is about 3610.5370791615. The cubic root of 13035978 is about 235.3501826130.

The spelling of 13035978 in words is "thirteen million, thirty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 8941 17882 26823 53646 80469 160938 241407 482814 724221 1448442 2172663 4345326 6517989 13035978