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13364514 = 235107257
BaseRepresentation
bin110010111110…
…110100100010
3221010222200000
4302332310202
511410131024
61154240430
7221411412
oct62766442
927128600
1013364514
1175a8a59
124586116
1329cc0c7
141abc642
15128ecc9
hexcbed22

13364514 has 48 divisors (see below), whose sum is σ = 30427488. Its totient is φ = 4396032.

The previous prime is 13364501. The next prime is 13364521. The reversal of 13364514 is 41546331.

13364514 is a `hidden beast` number, since 1 + 3 + 3 + 645 + 14 = 666.

It is a super-2 number, since 2×133645142 = 357220468912392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51874 + ... + 52130.

It is an arithmetic number, because the mean of its divisors is an integer number (633906).

Almost surely, 213364514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13364514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213744).

13364514 is an abundant number, since it is smaller than the sum of its proper divisors (17062974).

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

13364514 is a wasteful number, since it uses less digits than its factorization.

13364514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13364514 is about 3655.7508120768. The cubic root of 13364514 is about 237.3109202382.

The spelling of 13364514 in words is "thirteen million, three hundred sixty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 257 321 486 514 642 771 963 1542 1926 2313 2889 4626 5778 6939 8667 13878 17334 20817 26001 27499 41634 52002 54998 62451 82497 124902 164994 247491 494982 742473 1484946 2227419 4454838 6682257 13364514