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2120610660 = 2235719326161
BaseRepresentation
bin111111001100101…
…1111001101100100
312110210022011221120
41332121133031210
513320334020120
6550232013540
7103356615240
oct17631371544
95423264846
102120610660
119990361a3
124b22312b0
1327a45620c
141618d3420
15c6289140
hex7e65f364

2120610660 has 96 divisors (see below), whose sum is σ = 6821375232. Its totient is φ = 482181120.

The previous prime is 2120610643. The next prime is 2120610677. The reversal of 2120610660 is 660160212.

It is an interprime number because it is at equal distance from previous prime (2120610643) and next prime (2120610677).

It is a self number, because there is not a number n which added to its sum of digits gives 2120610660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67980 + ... + 94140.

It is an arithmetic number, because the mean of its divisors is an integer number (71055992).

Almost surely, 22120610660 is an apocalyptic number.

2120610660 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 2120610660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410687616).

2120610660 is an abundant number, since it is smaller than the sum of its proper divisors (4700764572).

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

2120610660 is a wasteful number, since it uses less digits than its factorization.

2120610660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26373 (or 26371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2120610660 is about 46050.0885992633. The cubic root of 2120610660 is about 1284.7549907091.

Adding to 2120610660 its reverse (660160212), we get a palindrome (2780770872).

The spelling of 2120610660 in words is "two billion, one hundred twenty million, six hundred ten thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 579 772 965 1158 1351 1930 2316 2702 2895 3860 4053 5404 5790 6755 8106 11580 13510 16212 20265 26161 27020 40530 52322 78483 81060 104644 130805 156966 183127 261610 313932 366254 392415 523220 549381 732508 784830 915635 1098762 1569660 1831270 2197524 2746905 3662540 5049073 5493810 10098146 10987620 15147219 20196292 25245365 30294438 35343511 50490730 60588876 70687022 75736095 100981460 106030533 141374044 151472190 176717555 212061066 302944380 353435110 424122132 530152665 706870220 1060305330 2120610660