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1381081536 = 26333721601
BaseRepresentation
bin101001001010001…
…1010000111000000
310120020202012201000
41102110122013000
510312024102121
6345013212000
746136666532
oct12224320700
93506665630
101381081536
11649647aaa
12326631000
13190186713
14d15c9852
15813a9526
hex5251a1c0

1381081536 has 112 divisors (see below), whose sum is σ = 4170050080. Its totient is φ = 447897600.

The previous prime is 1381081469. The next prime is 1381081549. The reversal of 1381081536 is 6351801831.

1381081536 is a `hidden beast` number, since 1 + 38 + 10 + 81 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1381081536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53136 + ... + 74736.

It is an arithmetic number, because the mean of its divisors is an integer number (37232590).

Almost surely, 21381081536 is an apocalyptic number.

1381081536 is a gapful number since it is divisible by the number (16) 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 1381081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085025040).

1381081536 is an abundant number, since it is smaller than the sum of its proper divisors (2788968544).

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

1381081536 is a wasteful number, since it uses less digits than its factorization.

1381081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1381081536 is about 37162.9053761947. The cubic root of 1381081536 is about 1113.6270541882.

The spelling of 1381081536 in words is "one billion, three hundred eighty-one million, eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 21312 21601 31968 43202 63936 64803 86404 129606 172808 194409 259212 345616 388818 518424 583227 691232 777636 799237 1036848 1166454 1382464 1555272 1598474 2073696 2332908 2397711 3110544 3196948 4147392 4665816 4795422 6221088 6393896 7193133 9331632 9590844 12442176 12787792 14386266 18663264 19181688 21579399 25575584 28772532 37326528 38363376 43158798 51151168 57545064 76726752 86317596 115090128 153453504 172635192 230180256 345270384 460360512 690540768 1381081536