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13006092540 = 2235724423841
BaseRepresentation
bin11000001110011100…
…10011100011111100
31020120102020221212010
430013032103203330
5203114024430130
65550325411220
7640205651100
oct140716234374
936512227763
1013006092540
115574666911
12262b869b10
1312c3725b5c
148b54b3900
15511c570b0
hex3073938fc

13006092540 has 72 divisors (see below), whose sum is σ = 42362710992. Its totient is φ = 2972820480.

The previous prime is 13006092469. The next prime is 13006092559. The reversal of 13006092540 is 4529060031.

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 = 13006092498 and 13006092507.

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, 2208981 + ... + 2214860.

It is an arithmetic number, because the mean of its divisors is an integer number (588370986).

Almost surely, 213006092540 is an apocalyptic number.

13006092540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006092540 is an abundant number, since it is smaller than the sum of its proper divisors (29356618452).

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

13006092540 is a wasteful number, since it uses less digits than its factorization.

13006092540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423867 (or 4423858 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 13006092540 in words is "thirteen billion, six million, ninety-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4423841 8847682 13271523 17695364 22119205 26543046 30966887 44238410 53086092 61933774 66357615 88476820 92900661 123867548 132715230 154834435 185801322 216768209 265430460 309668870 371602644 433536418 464503305 619337740 650304627 867072836 929006610 1083841045 1300609254 1858013220 2167682090 2601218508 3251523135 4335364180 6503046270 13006092540