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3056545920 = 27352277013
BaseRepresentation
bin1011011000101111…
…0011000010000000
321220000102121202110
42312023303002000
522224433432140
61223144215320
7135513132411
oct26613630200
97800377673
103056545920
11132938220a
1271376a540
1339932226c
1420dd25808
1512d513380
hexb62f3080

3056545920 has 128 divisors (see below), whose sum is σ = 9787055040. Its totient is φ = 811372544.

The previous prime is 3056545907. The next prime is 3056545937. The reversal of 3056545920 is 295456503.

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

It is a super-2 number, since 2×30565459202 = 18684945922137292800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432334 + ... + 439346.

Almost surely, 23056545920 is an apocalyptic number.

3056545920 is a gapful number since it is divisible by the number (30) 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 3056545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893527520).

3056545920 is an abundant number, since it is smaller than the sum of its proper divisors (6730509120).

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

3056545920 is a wasteful number, since it uses less digits than its factorization.

3056545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 3056545920 is about 55286.0372969523. The cubic root of 3056545920 is about 1451.2547078645.

The spelling of 3056545920 in words is "three billion, fifty-six million, five hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 227 240 320 384 454 480 640 681 908 960 1135 1362 1816 1920 2270 2724 3405 3632 4540 5448 6810 7013 7264 9080 10896 13620 14026 14528 18160 21039 21792 27240 28052 29056 35065 36320 42078 43584 54480 56104 70130 72640 84156 87168 105195 108960 112208 140260 145280 168312 210390 217920 224416 280520 336624 420780 435840 448832 561040 673248 841560 897664 1122080 1346496 1591951 1683120 2244160 2692992 3183902 3366240 4488320 4775853 6367804 6732480 7959755 9551706 12735608 13464960 15919510 19103412 23879265 25471216 31839020 38206824 47758530 50942432 63678040 76413648 95517060 101884864 127356080 152827296 191034120 203769728 254712160 305654592 382068240 509424320 611309184 764136480 1018848640 1528272960 3056545920