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3056337120 = 253531205399
BaseRepresentation
bin1011011000101100…
…0000000011100000
321220000001000100010
42312023000003200
522224410241440
61223135524520
7135511302564
oct26613000340
97800030303
103056337120
11132924a351
12713689740
1339927b205
1420dcad6a4
1512d4c1580
hexb62c00e0

3056337120 has 96 divisors (see below), whose sum is σ = 9938073600. Its totient is φ = 788728320.

The previous prime is 3056337113. The next prime is 3056337133. The reversal of 3056337120 is 217336503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 87820 + ... + 117579.

It is an arithmetic number, because the mean of its divisors is an integer number (103521600).

Almost surely, 23056337120 is an apocalyptic number.

3056337120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3056337120 is an abundant number, since it is smaller than the sum of its proper divisors (6881736480).

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

3056337120 is a wasteful number, since it uses less digits than its factorization.

3056337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205448 (or 205440 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 3056337120 is about 55284.1489036414. The cubic root of 3056337120 is about 1451.2216608793.

The spelling of 3056337120 in words is "three billion, fifty-six million, three hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 205399 410798 616197 821596 1026995 1232394 1643192 2053990 2464788 3080985 3286384 4107980 4929576 6161970 6367369 6572768 8215960 9859152 12323940 12734738 16431920 19102107 19718304 24647880 25469476 31836845 32863840 38204214 49295760 50938952 63673690 76408428 95510535 98591520 101877904 127347380 152816856 191021070 203755808 254694760 305633712 382042140 509389520 611267424 764084280 1018779040 1528168560 3056337120