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1305540093 = 311133043217
BaseRepresentation
bin100110111010000…
…1111010111111101
310100222121022022210
41031310033113331
510133204240333
6333314131033
744231623224
oct11564172775
93328538283
101305540093
1160aa41660
12305280a79
1317a627840
14c5563cbb
1579936a63
hex4dd0f5fd

1305540093 has 16 divisors (see below), whose sum is σ = 2045042496. Its totient is φ = 730371840.

The previous prime is 1305540059. The next prime is 1305540101. The reversal of 1305540093 is 3900455031.

It is not a de Polignac number, because 1305540093 - 26 = 1305540029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305540093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305540193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521180 + ... + 1522037.

It is an arithmetic number, because the mean of its divisors is an integer number (127815156).

Almost surely, 21305540093 is an apocalyptic number.

1305540093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305540093 is a deficient number, since it is larger than the sum of its proper divisors (739502403).

1305540093 is a wasteful number, since it uses less digits than its factorization.

1305540093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043244.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1305540093 is about 36132.2583434803. The cubic root of 1305540093 is about 1092.9410495203.

The spelling of 1305540093 in words is "one billion, three hundred five million, five hundred forty thousand, ninety-three".

Divisors: 1 3 11 13 33 39 143 429 3043217 9129651 33475387 39561821 100426161 118685463 435180031 1305540093