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3130053360 = 24357347809
BaseRepresentation
bin1011101010010000…
…1101001011110000
322002010202012000020
42322210031023300
522402243201420
61234331523440
7140365005000
oct27244151360
98063665006
103130053360
111366919465
127342b9580
133ab61b3a5
142199bc000
15134bd3340
hexba90d2f0

3130053360 has 320 divisors, whose sum is σ = 11570688000. Its totient is φ = 699353088.

The previous prime is 3130053359. The next prime is 3130053401. The reversal of 3130053360 is 633500313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3130053360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3868636 + ... + 3869444.

It is an arithmetic number, because the mean of its divisors is an integer number (36158400).

Almost surely, 23130053360 is an apocalyptic number.

3130053360 is a gapful number since it is divisible by the number (30) 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 3130053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785344000).

3130053360 is an abundant number, since it is smaller than the sum of its proper divisors (8440634640).

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

3130053360 is a wasteful number, since it uses less digits than its factorization.

3130053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 3130053360 is about 55946.8798057586. The cubic root of 3130053360 is about 1462.7965041320.

Adding to 3130053360 its reverse (633500313), we get a palindrome (3763553673).

The spelling of 3130053360 in words is "three billion, one hundred thirty million, fifty-three thousand, three hundred sixty".