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1316556540 = 2232513562631
BaseRepresentation
bin100111001111001…
…0000111011111100
310101202100000001100
41032132100323330
510144014302130
6334350213100
744424355155
oct11636207374
93352300040
101316556540
11616186462
12308ab4190
1317c9b3c50
14c6bd092c
157a8b0c60
hex4e790efc

1316556540 has 72 divisors (see below), whose sum is σ = 4300759008. Its totient is φ = 324074880.

The previous prime is 1316556523. The next prime is 1316556557. The reversal of 1316556540 is 456556131.

1316556540 is a `hidden beast` number, since 1 + 3 + 1 + 65 + 56 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1316556523) and next prime (1316556557).

It is a super-2 number, since 2×13165565402 = 3466642246033543200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1316556495 and 1316556504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278976 + ... + 283655.

It is an arithmetic number, because the mean of its divisors is an integer number (59732764).

Almost surely, 21316556540 is an apocalyptic number.

1316556540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1316556540 is an abundant number, since it is smaller than the sum of its proper divisors (2984202468).

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

1316556540 is a wasteful number, since it uses less digits than its factorization.

1316556540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562659 (or 562654 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1316556540 is about 36284.3842444653. The cubic root of 1316556540 is about 1096.0066054888.

The spelling of 1316556540 in words is "one billion, three hundred sixteen million, five hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 562631 1125262 1687893 2250524 2813155 3375786 5063679 5626310 6751572 7314203 8439465 10127358 11252620 14628406 16878930 20254716 21942609 25318395 29256812 33757860 36571015 43885218 50636790 65827827 73142030 87770436 101273580 109713045 131655654 146284060 219426090 263311308 329139135 438852180 658278270 1316556540