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1880810112 = 273139167211
BaseRepresentation
bin111000000011010…
…1110001010000000
311212002002001102210
41300012232022000
512322441410422
6510344142120
764415423256
oct16006561200
94762061383
101880810112
11885739525
12445a67940
1323c8750bc
1413bb105d6
15b01bc10c
hex701ae280

1880810112 has 128 divisors (see below), whose sum is σ = 5085964800. Its totient is φ = 615767040.

The previous prime is 1880810077. The next prime is 1880810123. The reversal of 1880810112 is 2110180881.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1880810112.

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, 8913687 + ... + 8913897.

It is an arithmetic number, because the mean of its divisors is an integer number (39734100).

Almost surely, 21880810112 is an apocalyptic number.

1880810112 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 1880810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542982400).

1880810112 is an abundant number, since it is smaller than the sum of its proper divisors (3205154688).

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

1880810112 is a wasteful number, since it uses less digits than its factorization.

1880810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

The square root of 1880810112 is about 43368.3076912162. The cubic root of 1880810112 is about 1234.3784099010.

Adding to 1880810112 its reverse (2110180881), we get a palindrome (3990990993).

It can be divided in two parts, 18808 and 10112, that added together give a triangular number (28920 = T240).

The spelling of 1880810112 in words is "one billion, eight hundred eighty million, eight hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 167 192 211 278 334 384 417 422 501 556 633 668 834 844 1002 1112 1266 1336 1668 1688 2004 2224 2532 2672 3336 3376 4008 4448 5064 5344 6672 6752 8016 8896 10128 10688 13344 13504 16032 17792 20256 21376 23213 26688 27008 29329 32064 35237 40512 46426 53376 58658 64128 69639 70474 81024 87987 92852 105711 117316 139278 140948 175974 185704 211422 234632 278556 281896 351948 371408 422844 469264 557112 563792 703896 742816 845688 938528 1114224 1127584 1407792 1485632 1691376 1877056 2228448 2255168 2815584 2971264 3382752 3754112 4456896 4510336 4897943 5631168 6765504 8913792 9795886 11262336 13531008 14693829 19591772 29387658 39183544 58775316 78367088 117550632 156734176 235101264 313468352 470202528 626936704 940405056 1880810112