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3275125120 = 27579211307
BaseRepresentation
bin1100001100110110…
…0111000110000000
322110020201121001101
43003031213012000
523201413000440
61300553144144
7144106050511
oct30315470600
98406647041
103275125120
1114307a4a83
127749bb054
134026b3077
14230d82a08
151427dc69a
hexc3367180

3275125120 has 128 divisors (see below), whose sum is σ = 7992230400. Its totient is φ = 1283143680.

The previous prime is 3275125109. The next prime is 3275125129. The reversal of 3275125120 is 215215723.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275125129) by changing a digit.

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, 10668007 + ... + 10668313.

It is an arithmetic number, because the mean of its divisors is an integer number (62439300).

Almost surely, 23275125120 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 3275125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996115200).

3275125120 is an abundant number, since it is smaller than the sum of its proper divisors (4717105280).

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

3275125120 is a wasteful number, since it uses less digits than its factorization.

3275125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 3275125120 is about 57228.7088793728. The cubic root of 3275125120 is about 1485.0553203363.

The spelling of 3275125120 in words is "three billion, two hundred seventy-five million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 211 307 316 320 395 422 614 632 640 790 844 1055 1228 1264 1535 1580 1688 2110 2456 2528 3070 3160 3376 4220 4912 5056 6140 6320 6752 8440 9824 10112 12280 12640 13504 16669 16880 19648 24253 24560 25280 27008 33338 33760 39296 48506 49120 50560 64777 66676 67520 83345 97012 98240 121265 129554 133352 135040 166690 194024 196480 242530 259108 266704 323885 333380 388048 485060 518216 533408 647770 666760 776096 970120 1036432 1066816 1295540 1333520 1552192 1940240 2072864 2133632 2591080 2667040 3104384 3880480 4145728 5117383 5182160 5334080 7760960 8291456 10234766 10364320 10668160 15521920 20469532 20728640 25586915 40939064 41457280 51173830 81878128 102347660 163756256 204695320 327512512 409390640 655025024 818781280 1637562560 3275125120