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1355304540 = 223522588409
BaseRepresentation
bin101000011001000…
…0100111001011100
310111110020121022110
41100302010321130
510233424221130
6342252514020
745404620122
oct12062047134
93443217273
101355304540
116360413a7
12319a7b910
13187a2c965
14cbdd9912
157deb6ab0
hex50c84e5c

1355304540 has 24 divisors (see below), whose sum is σ = 3794852880. Its totient is φ = 361414528.

The previous prime is 1355304529. The next prime is 1355304547. The reversal of 1355304540 is 454035531.

It is a super-2 number, since 2×13553045402 = 3673700792289223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1355304498 and 1355304507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355304547) by changing a digit.

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, 11294145 + ... + 11294264.

It is an arithmetic number, because the mean of its divisors is an integer number (158118870).

Almost surely, 21355304540 is an apocalyptic number.

1355304540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355304540 is an abundant number, since it is smaller than the sum of its proper divisors (2439548340).

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

1355304540 is a wasteful number, since it uses less digits than its factorization.

1355304540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22588421 (or 22588419 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1355304540 is about 36814.4610173774. The cubic root of 1355304540 is about 1106.6551201598.

The spelling of 1355304540 in words is "one billion, three hundred fifty-five million, three hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 22588409 45176818 67765227 90353636 112942045 135530454 225884090 271060908 338826135 451768180 677652270 1355304540