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1356086540 = 225307220861
BaseRepresentation
bin101000011010100…
…0011110100001100
310111111201100000102
41100311003310030
510234124232130
6342321350232
745414355034
oct12065036414
93444640012
101356086540
11636525986
1231a198378
13187c44893
14cc1608c4
157e0bd645
hex50d43d0c

1356086540 has 24 divisors (see below), whose sum is σ = 2857070832. Its totient is φ = 540665280.

The previous prime is 1356086539. The next prime is 1356086551. The reversal of 1356086540 is 456806531.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1356086494 and 1356086503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104291 + ... + 116570.

It is an arithmetic number, because the mean of its divisors is an integer number (119044618).

Almost surely, 21356086540 is an apocalyptic number.

1356086540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356086540 is an abundant number, since it is smaller than the sum of its proper divisors (1500984292).

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

1356086540 is a wasteful number, since it uses less digits than its factorization.

1356086540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221177 (or 221175 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1356086540 is about 36825.0803122003. The cubic root of 1356086540 is about 1106.8679229870.

The spelling of 1356086540 in words is "one billion, three hundred fifty-six million, eighty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 307 614 1228 1535 3070 6140 220861 441722 883444 1104305 2208610 4417220 67804327 135608654 271217308 339021635 678043270 1356086540