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315121024 = 2713118793
BaseRepresentation
bin10010110010000…
…101110110000000
3210221221210210001
4102302011312000
51121132333044
651134045344
710544325121
oct2262056600
9727853701
10315121024
111519720a9
1289649854
135039355a
142dbcc048
151c9e92d4
hex12c85d80

315121024 has 32 divisors (see below), whose sum is σ = 632606040. Its totient is φ = 156349440.

The previous prime is 315121019. The next prime is 315121031. The reversal of 315121024 is 420121513.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 315120992 and 315121010.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 7372 + ... + 26164.

Almost surely, 2315121024 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 315121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316303020).

315121024 is an abundant number, since it is smaller than the sum of its proper divisors (317485016).

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

315121024 is a wasteful number, since it uses less digits than its factorization.

315121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18938 (or 18926 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 315121024 is about 17751.6484868307. The cubic root of 315121024 is about 680.4963388978.

Adding to 315121024 its reverse (420121513), we get a palindrome (735242537).

The spelling of 315121024 in words is "three hundred fifteen million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 8384 16768 18793 37586 75172 150344 300688 601376 1202752 2405504 2461883 4923766 9847532 19695064 39390128 78780256 157560512 315121024