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1316490084 = 223471344651
BaseRepresentation
bin100111001111000…
…0000101101100100
310101202012121220000
41032132000231210
510144010140314
6334344541300
744423660340
oct11636005544
93352177800
101316490084
11616140538
12308a81830
1317c98c920
14c6bb4620
157a89b209
hex4e780b64

1316490084 has 120 divisors (see below), whose sum is σ = 4235867328. Its totient is φ = 347198400.

The previous prime is 1316490083. The next prime is 1316490137. The reversal of 1316490084 is 4800946131.

1316490084 is a `hidden beast` number, since 1 + 3 + 1 + 649 + 0 + 0 + 8 + 4 = 666.

It is a super-2 number, since 2×13164900842 = 3466292282540654112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1316490083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7159 + ... + 51809.

Almost surely, 21316490084 is an apocalyptic number.

1316490084 is a gapful number since it is divisible by the number (14) 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 1316490084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117933664).

1316490084 is an abundant number, since it is smaller than the sum of its proper divisors (2919377244).

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

1316490084 is a wasteful number, since it uses less digits than its factorization.

1316490084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44687 (or 44676 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1316490084 is about 36283.4684670581. The cubic root of 1316490084 is about 1095.9881640880.

The spelling of 1316490084 in words is "one billion, three hundred sixteen million, four hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 44651 89302 133953 178604 267906 312557 401859 535812 580463 625114 803718 937671 1160926 1205577 1250228 1607436 1741389 1875342 2321852 2411154 2813013 3482778 3616731 3750684 4063241 4822308 5224167 5626026 6965556 7233462 8126482 8439039 10448334 11252052 12189723 14466924 15672501 16252964 16878078 20896668 24379446 25317117 31345002 33756156 36569169 47017503 48758892 50634234 62690004 73138338 94035006 101268468 109707507 146276676 188070012 219415014 329122521 438830028 658245042 1316490084