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13370368 = 210111187
BaseRepresentation
bin110011000000…
…010000000000
3221011021200211
4303000100000
511410322433
61154323504
7221434444
oct63002000
927137624
1013370368
1176023a0
124589594
132a0197b
141ac0824
1512918cd
hexcc0400

13370368 has 44 divisors (see below), whose sum is σ = 29182032. Its totient is φ = 6072320.

The previous prime is 13370353. The next prime is 13370369. The reversal of 13370368 is 86307331.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (13370369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10671 + ... + 11857.

It is an arithmetic number, because the mean of its divisors is an integer number (663228).

Almost surely, 213370368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591016).

13370368 is an abundant number, since it is smaller than the sum of its proper divisors (15811664).

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

13370368 is a wasteful number, since it uses less digits than its factorization.

13370368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 13370368 is about 3656.5513807411. The cubic root of 13370368 is about 237.3455646041.

Adding to 13370368 its reverse (86307331), we get a palindrome (99677699).

The spelling of 13370368 in words is "thirteen million, three hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1187 1408 2374 2816 4748 5632 9496 11264 13057 18992 26114 37984 52228 75968 104456 151936 208912 303872 417824 607744 835648 1215488 1671296 3342592 6685184 13370368