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1399536864 = 2532113071439
BaseRepresentation
bin101001101101011…
…0011110011100000
310121112110211122200
41103122303303200
510331240134424
6350512533200
746452603255
oct12332636340
93545424580
101399536864
11659002840
12330851200
13193c48a2b
14d3c3142c
1582d028c9
hex536b3ce0

1399536864 has 144 divisors (see below), whose sum is σ = 4358914560. Its totient is φ = 422426880.

The previous prime is 1399536863. The next prime is 1399536869. The reversal of 1399536864 is 4686359931.

1399536864 is a `hidden beast` number, since 13 + 99 + 536 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1399536864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399536863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 971857 + ... + 973295.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 21399536864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179457280).

1399536864 is an abundant number, since it is smaller than the sum of its proper divisors (2959377696).

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

1399536864 is a wasteful number, since it uses less digits than its factorization.

1399536864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1762 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 1399536864 is about 37410.3844406871. The cubic root of 1399536864 is about 1118.5655701138.

The spelling of 1399536864 in words is "one billion, three hundred ninety-nine million, five hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 307 352 396 528 614 792 921 1056 1228 1439 1584 1842 2456 2763 2878 3168 3377 3684 4317 4912 5526 5756 6754 7368 8634 9824 10131 11052 11512 12951 13508 14736 15829 17268 20262 22104 23024 25902 27016 29472 30393 31658 34536 40524 44208 46048 47487 51804 54032 60786 63316 69072 81048 88416 94974 103608 108064 121572 126632 138144 142461 162096 189948 207216 243144 253264 284922 324192 379896 414432 441773 486288 506528 569844 759792 883546 972576 1139688 1325319 1519584 1767092 2279376 2650638 3534184 3975957 4558752 4859503 5301276 7068368 7951914 9719006 10602552 14136736 14578509 15903828 19438012 21205104 29157018 31807656 38876024 42410208 43735527 58314036 63615312 77752048 87471054 116628072 127230624 155504096 174942108 233256144 349884216 466512288 699768432 1399536864