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3057057060 = 22351910872467
BaseRepresentation
bin1011011000110110…
…1111110100100100
321220001101120220120
42312031233310210
522230101311220
61223203201540
7135520361541
oct26615576444
97801346816
103057057060
1113296a1242
127139762b0
13399470b05
14210019bc8
1512d5b4a40
hexb636fd24

3057057060 has 96 divisors (see below), whose sum is σ = 9022218240. Its totient is φ = 771285888.

The previous prime is 3057057053. The next prime is 3057057067. The reversal of 3057057060 is 607507503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3057057053) and next prime (3057057067).

It is not an unprimeable number, because it can be changed into a prime (3057057067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237947 + ... + 1240413.

It is an arithmetic number, because the mean of its divisors is an integer number (93981440).

Almost surely, 23057057060 is an apocalyptic number.

3057057060 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 3057057060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511109120).

3057057060 is an abundant number, since it is smaller than the sum of its proper divisors (5965161180).

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

3057057060 is a wasteful number, since it uses less digits than its factorization.

3057057060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 3057057060 is about 55290.6597898777. The cubic root of 3057057060 is about 1451.3356001533.

The spelling of 3057057060 in words is "three billion, fifty-seven million, fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1087 1140 2174 2467 3261 4348 4934 5435 6522 7401 9868 10870 12335 13044 14802 16305 20653 21740 24670 29604 32610 37005 41306 46873 49340 61959 65220 74010 82612 93746 103265 123918 140619 148020 187492 206530 234365 247836 281238 309795 413060 468730 562476 619590 703095 937460 1239180 1406190 2681629 2812380 5363258 8044887 10726516 13408145 16089774 26816290 32179548 40224435 50950951 53632580 80448870 101901902 152852853 160897740 203803804 254754755 305705706 509509510 611411412 764264265 1019019020 1528528530 3057057060