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2996152180 = 2257192235051
BaseRepresentation
bin1011001010010101…
…1010011101110100
321201210210022010021
42302211122131310
522114003332210
61213145534524
7134150605360
oct26245323564
97653708107
102996152180
1112a828252a
126b74a4444
13389968018
14205cc42a0
15128083bda
hexb295a774

2996152180 has 96 divisors (see below), whose sum is σ = 7604674560. Its totient is φ = 968630400.

The previous prime is 2996152157. The next prime is 2996152207. The reversal of 2996152180 is 812516992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590655 + ... + 595705.

It is an arithmetic number, because the mean of its divisors is an integer number (79215360).

Almost surely, 22996152180 is an apocalyptic number.

2996152180 is a gapful number since it is divisible by the number (20) 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 2996152180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802337280).

2996152180 is an abundant number, since it is smaller than the sum of its proper divisors (4608522380).

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

2996152180 is a wasteful number, since it uses less digits than its factorization.

2996152180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 2996152180 is about 54737.1188500089. The cubic root of 2996152180 is about 1441.6326935241.

The spelling of 2996152180 in words is "two billion, nine hundred ninety-six million, one hundred fifty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 223 266 380 446 532 665 892 1115 1330 1561 2230 2660 3122 4237 4460 5051 6244 7805 8474 10102 15610 16948 20204 21185 25255 29659 31220 35357 42370 50510 59318 70714 84740 95969 101020 118636 141428 148295 176785 191938 296590 353570 383876 479845 593180 671783 707140 959690 1126373 1343566 1919380 2252746 2687132 3358915 4505492 5631865 6717830 7884611 11263730 13435660 15769222 21401087 22527460 31538444 39423055 42802174 78846110 85604348 107005435 149807609 157692220 214010870 299615218 428021740 599230436 749038045 1498076090 2996152180