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1315870320 = 243510353231
BaseRepresentation
bin100111001101110…
…1001011001110000
310101201001010201210
41032123221121300
510143330322240
6334323400120
744415466422
oct11633513160
93351033653
101315870320
11615857936
12308823040
1317c8037bb
14c6a92812
157a7c7780
hex4e6e9670

1315870320 has 80 divisors (see below), whose sum is σ = 4118879232. Its totient is φ = 347485440.

The previous prime is 1315870313. The next prime is 1315870337. The reversal of 1315870320 is 230785131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896 + ... + 51335.

Almost surely, 21315870320 is an apocalyptic number.

1315870320 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 1315870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059439616).

1315870320 is an abundant number, since it is smaller than the sum of its proper divisors (2803008912).

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

1315870320 is a wasteful number, since it uses less digits than its factorization.

1315870320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53350 (or 53344 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1315870320 is about 36274.9268779415. The cubic root of 1315870320 is about 1095.8161509865.

It can be divided in two parts, 131 and 5870320, that added together give a triangular number (5870451 = T3426).

The spelling of 1315870320 in words is "one billion, three hundred fifteen million, eight hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 53231 106462 159693 212924 266155 319386 425848 532310 638772 798465 851696 1064620 1277544 1596930 2129240 2555088 3193860 4258480 5482793 6387720 10965586 12775440 16448379 21931172 27413965 32896758 43862344 54827930 65793516 82241895 87724688 109655860 131587032 164483790 219311720 263174064 328967580 438623440 657935160 1315870320