Search a number
-
+
13369600 = 28522089
BaseRepresentation
bin110011000000…
…000100000000
3221011020122101
4303000010000
511410311400
61154320144
7221432266
oct63000400
927136571
1013369600
117601862
124589054
132a0150a
141ac0436
15129156a
hexcc0100

13369600 has 54 divisors (see below), whose sum is σ = 33107690. Its totient is φ = 5345280.

The previous prime is 13369591. The next prime is 13369639. The reversal of 13369600 is 696331.

It can be written as a sum of positive squares in 3 ways, for example, as 2715904 + 10653696 = 1648^2 + 3264^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5356 + ... + 7444.

Almost surely, 213369600 is an apocalyptic number.

13369600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553845).

13369600 is an abundant number, since it is smaller than the sum of its proper divisors (19738090).

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

13369600 is an equidigital number, since it uses as much as digits as its factorization.

13369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 13369600 is about 3656.4463622485. The cubic root of 13369600 is about 237.3410201048.

The spelling of 13369600 in words is "thirteen million, three hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 2089 3200 4178 6400 8356 10445 16712 20890 33424 41780 52225 66848 83560 104450 133696 167120 208900 267392 334240 417800 534784 668480 835600 1336960 1671200 2673920 3342400 6684800 13369600