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2141000980 = 225292127289
BaseRepresentation
bin111111110011101…
…0001010100010100
312112012200010012121
41333213101110110
513341044012410
6552241025324
7104025131236
oct17747212424
95465603177
102141000980
119a95a27a8
124b9025244
132817451b1
141644c0256
15c7e659da
hex7f9d1514

2141000980 has 36 divisors (see below), whose sum is σ = 4656522780. Its totient is φ = 826862848.

The previous prime is 2141000947. The next prime is 2141000987. The reversal of 2141000980 is 890001412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 147914244 + 1993086736 = 12162^2 + 44644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141000987) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46825 + ... + 80464.

It is an arithmetic number, because the mean of its divisors is an integer number (129347855).

Almost surely, 22141000980 is an apocalyptic number.

2141000980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141000980 is an abundant number, since it is smaller than the sum of its proper divisors (2515521800).

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

2141000980 is a wasteful number, since it uses less digits than its factorization.

2141000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127356 (or 127325 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 2141000980 is about 46270.9517948356. The cubic root of 2141000980 is about 1288.8596335952.

The spelling of 2141000980 in words is "two billion, one hundred forty-one million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 16820 127289 254578 509156 636445 1272890 2545780 3691381 7382762 14765524 18456905 36913810 73827620 107050049 214100098 428200196 535250245 1070500490 2141000980