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1081362672 = 2432132919919
BaseRepresentation
bin100000001110100…
…0100100011110000
32210100202220201100
41000131010203300
54203312101142
6255145204400
735540300565
oct10035044360
92710686640
101081362672
11505445865
12262190700
13143056890
14a388a86c
1564e03b4c
hex407448f0

1081362672 has 120 divisors (see below), whose sum is σ = 3371659200. Its totient is φ = 321237504.

The previous prime is 1081362671. The next prime is 1081362683. The reversal of 1081362672 is 2762631801.

1081362672 is a `hidden beast` number, since 10 + 8 + 13 + 626 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081362671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44329 + ... + 64247.

It is an arithmetic number, because the mean of its divisors is an integer number (28097160).

Almost surely, 21081362672 is an apocalyptic number.

1081362672 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 1081362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685829600).

1081362672 is an abundant number, since it is smaller than the sum of its proper divisors (2290296528).

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

1081362672 is a wasteful number, since it uses less digits than its factorization.

1081362672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19975 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1081362672 is about 32884.0793089908. The cubic root of 1081362672 is about 1026.4168933812.

The spelling of 1081362672 in words is "one billion, eighty-one million, three hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 3016 3393 4176 4524 6032 6786 9048 13572 18096 19919 27144 39838 54288 59757 79676 119514 159352 179271 239028 258947 318704 358542 478056 517894 577651 717084 776841 956112 1035788 1155302 1434168 1553682 1732953 2071576 2310604 2330523 2868336 3107364 3465906 4143152 4621208 4661046 5198859 6214728 6931812 7509463 9242416 9322092 10397718 12429456 13863624 15018926 18644184 20795436 22528389 27727248 30037852 37288368 41590872 45056778 60075704 67585167 83181744 90113556 120151408 135170334 180227112 270340668 360454224 540681336 1081362672