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1315470000 = 24354133373
BaseRepresentation
bin100111001101000…
…0111101010110000
310101200021210121010
41032122013222300
510143230020000
6334311030520
744412211335
oct11632075260
93350253533
101315470000
11615604099
1230866b440
1317c6c3520
14c69ca98c
157a748d50
hex4e687ab0

1315470000 has 200 divisors, whose sum is σ = 4574523184. Its totient is φ = 323712000.

The previous prime is 1315469999. The next prime is 1315470011. The reversal of 1315470000 is 745131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×13154700002 = 3460922641800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 388314 + ... + 391686.

Almost surely, 21315470000 is an apocalyptic number.

1315470000 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 1315470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287261592).

1315470000 is an abundant number, since it is smaller than the sum of its proper divisors (3259053184).

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

1315470000 is a wasteful number, since it uses less digits than its factorization.

1315470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1315470000 is about 36269.4085973290. The cubic root of 1315470000 is about 1095.7050150061.

The spelling of 1315470000 in words is "one billion, three hundred fifteen million, four hundred seventy thousand".