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13252968 = 23322353151
BaseRepresentation
bin110010100011…
…100101101000
3220221022122200
4302203211220
511343043333
61152020200
7220435251
oct62434550
926838580
1013252968
117532173
124531660
1329903c1
141a8db28
15126bc13
hexca3968

13252968 has 96 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 4118400.

The previous prime is 13252933. The next prime is 13252973. The reversal of 13252968 is 86925231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87693 + ... + 87843.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 213252968 is an apocalyptic number.

13252968 is a gapful number since it is divisible by the number (18) 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 13252968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

13252968 is an abundant number, since it is smaller than the sum of its proper divisors (25160472).

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

13252968 is a wasteful number, since it uses less digits than its factorization.

13252968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13252968 is about 3640.4626079662. The cubic root of 13252968 is about 236.6488417001.

The spelling of 13252968 in words is "thirteen million, two hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 151 159 184 207 212 276 302 318 414 424 453 477 552 604 636 828 906 954 1208 1219 1272 1359 1656 1812 1908 2438 2718 3473 3624 3657 3816 4876 5436 6946 7314 8003 9752 10419 10872 10971 13892 14628 16006 20838 21942 24009 27784 29256 31257 32012 41676 43884 48018 62514 64024 72027 83352 87768 96036 125028 144054 184069 192072 250056 288108 368138 552207 576216 736276 1104414 1472552 1656621 2208828 3313242 4417656 6626484 13252968