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13874536 = 2313711879
BaseRepresentation
bin110100111011…
…010101101000
3222002220021201
4310323111220
512022441121
61213213544
7225634354
oct64732550
928086251
1013874536
117917165
1247912b4
132b4a2b0
141bb2464
151340e91
hexd3b568

13874536 has 32 divisors (see below), whose sum is σ = 28425600. Its totient is φ = 6310080.

The previous prime is 13874521. The next prime is 13874537. The reversal of 13874536 is 63547831.

It is a junction number, because it is equal to n+sod(n) for n = 13874495 and 13874504.

It is not an unprimeable number, because it can be changed into a prime (13874537) 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 7 ways as a sum of consecutive naturals, for example, 6445 + ... + 8323.

It is an arithmetic number, because the mean of its divisors is an integer number (888300).

Almost surely, 213874536 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 13874536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212800).

13874536 is an abundant number, since it is smaller than the sum of its proper divisors (14551064).

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

13874536 is a wasteful number, since it uses less digits than its factorization.

13874536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1965 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 13874536 is about 3724.8538226352. The cubic root of 13874536 is about 240.2920980542.

The spelling of 13874536 in words is "thirteen million, eight hundred seventy-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 1879 3692 3758 7384 7516 15032 24427 48854 97708 133409 195416 266818 533636 1067272 1734317 3468634 6937268 13874536