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1315895540 = 2251719271151
BaseRepresentation
bin100111001101110…
…1111100011110100
310101201002102022212
41032123233203310
510143332124130
6334324112552
744415633101
oct11633574364
93351072285
101315895540
11615874883
12308835758
1317c81211b
14c6a9baa8
157a7cee95
hex4e6ef8f4

1315895540 has 144 divisors (see below), whose sum is σ = 3152265984. Its totient is φ = 459648000.

The previous prime is 1315895459. The next prime is 1315895543. The reversal of 1315895540 is 455985131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315895543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8714465 + ... + 8714615.

It is an arithmetic number, because the mean of its divisors is an integer number (21890736).

Almost surely, 21315895540 is an apocalyptic number.

1315895540 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 1315895540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576132992).

1315895540 is an abundant number, since it is smaller than the sum of its proper divisors (1836370444).

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

1315895540 is a wasteful number, since it uses less digits than its factorization.

1315895540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 41.

The square root of 1315895540 is about 36275.2744993060. The cubic root of 1315895540 is about 1095.8231517541.

The spelling of 1315895540 in words is "one billion, three hundred fifteen million, eight hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 151 170 190 284 302 323 340 355 361 380 604 646 710 722 755 1207 1292 1349 1420 1444 1510 1615 1805 2414 2567 2698 2869 3020 3230 3610 4828 5134 5396 5738 6035 6137 6460 6745 7220 10268 10721 11476 12070 12274 12835 13490 14345 21442 22933 24140 24548 25631 25670 26980 28690 30685 42884 45866 48773 51262 51340 53605 54511 57380 61370 91732 97546 102524 107210 109022 114665 122740 128155 182257 195092 203699 214420 218044 229330 243865 256310 272555 364514 407398 435727 458660 487730 512620 545110 729028 814796 871454 911285 926687 975460 1018495 1090220 1742908 1822570 1853374 2036990 2178635 3462883 3645140 3706748 3870281 4073980 4357270 4633435 6925766 7740562 8714540 9266870 13851532 15481124 17314415 18533740 19351405 34628830 38702810 65794777 69257660 77405620 131589554 263179108 328973885 657947770 1315895540