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2921000010 = 2351713143721
BaseRepresentation
bin1010111000011010…
…1110110001001010
321112120101011201120
42232012232301022
521440234000020
61201503100110
7132246043005
oct25606566112
97476334646
102921000010
1112699125a5
126962a1636
13377214396
141d9d2053c
1512168b740
hexae1aec4a

2921000010 has 64 divisors (see below), whose sum is σ = 7479609984. Its totient is φ = 727500800.

The previous prime is 2921000009. The next prime is 2921000011. The reversal of 2921000010 is 100001292.

It is a happy number.

2921000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2921000009) and next prime (2921000011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2921000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44950 + ... + 88670.

It is an arithmetic number, because the mean of its divisors is an integer number (116868906).

Almost surely, 22921000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2921000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739804992).

2921000010 is an abundant number, since it is smaller than the sum of its proper divisors (4558609974).

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

2921000010 is a wasteful number, since it uses less digits than its factorization.

2921000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43879.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2921000010 is about 54046.2765599999. The cubic root of 2921000010 is about 1429.4770464590.

The spelling of 2921000010 in words is "two billion, nine hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 131 170 255 262 393 510 655 786 1310 1965 2227 3930 4454 6681 11135 13362 22270 33405 43721 66810 87442 131163 218605 262326 437210 655815 743257 1311630 1486514 2229771 3716285 4459542 5727451 7432570 11148855 11454902 17182353 22297710 28637255 34364706 57274510 85911765 97366667 171823530 194733334 292100001 486833335 584200002 973666670 1460500005 2921000010