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13172768 = 257231271
BaseRepresentation
bin110010010000…
…000000100000
3220210020122022
4302100000200
511333012033
61150201012
7216652400
oct62200040
926706568
1013172768
117487994
1244b3168
132962a4b
141a6c800
151253098
hexc90020

13172768 has 72 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 5443200.

The previous prime is 13172729. The next prime is 13172791. The reversal of 13172768 is 86727131.

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 11 ways as a sum of consecutive naturals, for example, 48473 + ... + 48743.

It is an arithmetic number, because the mean of its divisors is an integer number (434112).

Almost surely, 213172768 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 13172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

13172768 is an abundant number, since it is smaller than the sum of its proper divisors (18083296).

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

13172768 is a wasteful number, since it uses less digits than its factorization.

13172768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 13172768 is about 3629.4308093694. The cubic root of 13172768 is about 236.1705173867.

Adding to 13172768 its reverse (86727131), we get a palindrome (99899899).

The spelling of 13172768 in words is "thirteen million, one hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 271 392 434 496 542 784 868 992 1084 1519 1568 1736 1897 2168 3038 3472 3794 4336 6076 6944 7588 8401 8672 12152 13279 15176 16802 24304 26558 30352 33604 48608 53116 58807 60704 67208 106232 117614 134416 212464 235228 268832 411649 424928 470456 823298 940912 1646596 1881824 3293192 6586384 13172768