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1315015152 = 2431110124659
BaseRepresentation
bin100111001100001…
…1000100111110000
310101122102200122220
41032120120213300
510143120441102
6334253201040
744405305263
oct11630304760
93348380586
101315015152
11615323390
12308490180
1317c594499
14c690ccda
157a6a91bc
hex4e6189f0

1315015152 has 80 divisors (see below), whose sum is σ = 3742796160. Its totient is φ = 394528000.

The previous prime is 1315015147. The next prime is 1315015153. The reversal of 1315015152 is 2515105131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315015153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40999 + ... + 65657.

It is an arithmetic number, because the mean of its divisors is an integer number (46784952).

Almost surely, 21315015152 is an apocalyptic number.

1315015152 is a gapful number since it is divisible by the number (12) 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 1315015152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871398080).

1315015152 is an abundant number, since it is smaller than the sum of its proper divisors (2427781008).

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

1315015152 is a wasteful number, since it uses less digits than its factorization.

1315015152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24782 (or 24776 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 1315015152 is about 36263.1376469274. The cubic root of 1315015152 is about 1095.5787137127.

The spelling of 1315015152 in words is "one billion, three hundred fifteen million, fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 24659 26664 49318 53328 73977 98636 147954 197272 271249 295908 394544 542498 591816 813747 1084996 1183632 1627494 2169992 2490559 3254988 4339984 4981118 6509976 7471677 9962236 13019952 14943354 19924472 27396149 29886708 39848944 54792298 59773416 82188447 109584596 119546832 164376894 219169192 328753788 438338384 657507576 1315015152