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1317083136 = 21134632
BaseRepresentation
bin100111010000001…
…0001100000000000
310101210022202101220
41032200101200000
510144133130021
6334405355040
744432010345
oct11640214000
93353282356
101317083136
11616506066
12309108a80
1317cb39845
14c6cca7cc
157a966cc6
hex4e811800

1317083136 has 72 divisors (see below), whose sum is σ = 3518964540. Its totient is φ = 438079488.

The previous prime is 1317083107. The next prime is 1317083179. The reversal of 1317083136 is 6313807131.

It is a junction number, because it is equal to n+sod(n) for n = 1317083097 and 1317083106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2844441 + ... + 2844903.

Almost surely, 21317083136 is an apocalyptic number.

1317083136 is a gapful number since it is divisible by the number (16) 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 1317083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759482270).

1317083136 is an abundant number, since it is smaller than the sum of its proper divisors (2201881404).

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

1317083136 is an frugal number, since it uses more digits than its factorization.

1317083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1317083136 is about 36291.6400290756. The cubic root of 1317083136 is about 1096.1527128389.

The spelling of 1317083136 in words is "one billion, three hundred seventeen million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 463 512 768 926 1024 1389 1536 1852 2048 2778 3072 3704 5556 6144 7408 11112 14816 22224 29632 44448 59264 88896 118528 177792 214369 237056 355584 428738 474112 643107 711168 857476 948224 1286214 1422336 1714952 2572428 2844672 3429904 5144856 6859808 10289712 13719616 20579424 27439232 41158848 54878464 82317696 109756928 164635392 219513856 329270784 439027712 658541568 1317083136