Search a number
-
+
2660366380 = 2257172471399
BaseRepresentation
bin1001111010010001…
…1111100000101100
320212101221121121011
42132210133200230
520422023211010
61115552515004
7122632512130
oct23644374054
96771847534
102660366380
111145786701
12622b4ba64
1333521a8b9
141b34773c0
15108856a8a
hex9e91f82c

2660366380 has 144 divisors (see below), whose sum is σ = 6931814400. Its totient is φ = 839605248.

The previous prime is 2660366351. The next prime is 2660366383. The reversal of 2660366380 is 836630662.

It is a happy number.

2660366380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2660366383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900921 + ... + 1902319.

It is an arithmetic number, because the mean of its divisors is an integer number (48137600).

Almost surely, 22660366380 is an apocalyptic number.

2660366380 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 2660366380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465907200).

2660366380 is an abundant number, since it is smaller than the sum of its proper divisors (4271448020).

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

2660366380 is a wasteful number, since it uses less digits than its factorization.

2660366380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 2660366380 is about 51578.7396123635. The cubic root of 2660366380 is about 1385.6295938097.

The spelling of 2660366380 in words is "two billion, six hundred sixty million, three hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 289 329 340 470 476 578 595 658 799 940 1156 1190 1316 1399 1445 1598 1645 2023 2380 2798 2890 3196 3290 3995 4046 5593 5596 5780 6580 6995 7990 8092 9793 10115 11186 13583 13990 15980 19586 20230 22372 23783 27166 27965 27980 39172 40460 47566 48965 54332 55930 65753 67915 95081 95132 97930 111860 118915 131506 135830 166481 190162 195860 237830 263012 271660 328765 332962 380324 404311 460271 475405 475660 657530 665924 808622 832405 920542 950810 1117801 1315060 1617244 1664810 1841084 1901620 2021555 2235602 2301355 2830177 3329620 4043110 4471204 4602710 5589005 5660354 7824607 8086220 9205420 11178010 11320708 14150885 15649214 19002617 22356020 28301770 31298428 38005234 39123035 56603540 76010468 78246070 95013085 133018319 156492140 190026170 266036638 380052340 532073276 665091595 1330183190 2660366380