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545831680 = 2854347211
BaseRepresentation
bin100000100010001…
…011101100000000
31102001002010022011
4200202023230000
52104213103210
6130055022304
716345331002
oct4042135400
91361063264
10545831680
11260120469
1213296a994
1389111134
14526c6372
1532dbcd8a
hex2088bb00

545831680 has 144 divisors (see below), whose sum is σ = 1372783104. Its totient is φ = 207728640.

The previous prime is 545831617. The next prime is 545831687. The reversal of 545831680 is 86138545.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (545831687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2586775 + ... + 2586985.

It is an arithmetic number, because the mean of its divisors is an integer number (9533216).

Almost surely, 2545831680 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 545831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686391552).

545831680 is an abundant number, since it is smaller than the sum of its proper divisors (826951424).

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

545831680 is a wasteful number, since it uses less digits than its factorization.

545831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 545831680 is about 23363.0408979653. The cubic root of 545831680 is about 817.2462055117.

The spelling of 545831680 in words is "five hundred forty-five million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 47 64 80 86 94 128 160 172 188 211 215 235 256 320 344 376 422 430 470 640 688 752 844 860 940 1055 1280 1376 1504 1688 1720 1880 2021 2110 2752 3008 3376 3440 3760 4042 4220 5504 6016 6752 6880 7520 8084 8440 9073 9917 10105 11008 12032 13504 13760 15040 16168 16880 18146 19834 20210 27008 27520 30080 32336 33760 36292 39668 40420 45365 49585 54016 55040 60160 64672 67520 72584 79336 80840 90730 99170 129344 135040 145168 158672 161680 181460 198340 258688 270080 290336 317344 323360 362920 396680 426431 517376 580672 634688 646720 725840 793360 852862 1161344 1269376 1293440 1451680 1586720 1705724 2132155 2322688 2538752 2586880 2903360 3173440 3411448 4264310 5806720 6346880 6822896 8528620 11613440 12693760 13645792 17057240 27291584 34114480 54583168 68228960 109166336 136457920 272915840 545831680