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1306874712 = 23311131033697
BaseRepresentation
bin100110111100101…
…0101001101011000
310101002010010002010
41031321111031120
510134024442322
6333402505520
744246152233
oct11571251530
93332103063
101306874712
11610773350
123058052a0
1317a9a4160
14c57d041a
1579aec20c
hex4de55358

1306874712 has 128 divisors (see below), whose sum is σ = 3876687360. Its totient is φ = 361912320.

The previous prime is 1306874671. The next prime is 1306874729. The reversal of 1306874712 is 2174786031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351648 + ... + 355344.

It is an arithmetic number, because the mean of its divisors is an integer number (30286620).

Almost surely, 21306874712 is an apocalyptic number.

1306874712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306874712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938343680).

1306874712 is an abundant number, since it is smaller than the sum of its proper divisors (2569812648).

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

1306874712 is a wasteful number, since it uses less digits than its factorization.

1306874712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1306874712 is about 36150.7221504633. The cubic root of 1306874712 is about 1093.3133508973.

The spelling of 1306874712 in words is "one billion, three hundred six million, eight hundred seventy-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 103 104 132 143 156 206 264 286 309 312 412 429 572 618 824 858 1133 1144 1236 1339 1716 2266 2472 2678 3399 3432 3697 4017 4532 5356 6798 7394 8034 9064 10712 11091 13596 14729 14788 16068 22182 27192 29458 29576 32136 40667 44187 44364 48061 58916 81334 88374 88728 96122 117832 122001 144183 162668 176748 192244 244002 288366 325336 353496 380791 384488 488004 528671 576732 761582 976008 1057342 1142373 1153464 1523164 1586013 2114684 2284746 3046328 3172026 4188701 4229368 4569492 4950283 6344052 8377402 9138984 9900566 12566103 12688104 14850849 16754804 19801132 25132206 29701698 33509608 39602264 50264412 54453113 59403396 100528824 108906226 118806792 163359339 217812452 326718678 435624904 653437356 1306874712