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2107002006 = 2321017571531
BaseRepresentation
bin111110110010110…
…0100110010010110
312102211200210101100
41331211210302112
513303343031011
6545024210530
7103133135664
oct17545446226
95384623340
102107002006
1199139087a
124a9769a46
1327769cc65
1415db8dc34
15c4e9bd56
hex7d964c96

2107002006 has 48 divisors (see below), whose sum is σ = 4619476368. Its totient is φ = 694008000.

The previous prime is 2107001999. The next prime is 2107002031. The reversal of 2107002006 is 6002007012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2107002006.

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 23 ways as a sum of consecutive naturals, for example, 1375461 + ... + 1376991.

It is an arithmetic number, because the mean of its divisors is an integer number (96239091).

Almost surely, 22107002006 is an apocalyptic number.

2107002006 is an abundant number, since it is smaller than the sum of its proper divisors (2512474362).

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

2107002006 is a wasteful number, since it uses less digits than its factorization.

2107002006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2107002006 is about 45902.0915209754. The cubic root of 2107002006 is about 1282.0008595346. Note that the first 3 decimals are identical.

Adding to 2107002006 its reverse (6002007012), we get a palindrome (8109009018).

The spelling of 2107002006 in words is "two billion, one hundred seven million, two thousand, six".

Divisors: 1 2 3 6 9 18 101 202 303 606 757 909 1514 1531 1818 2271 3062 4542 4593 6813 9186 13626 13779 27558 76457 152914 154631 229371 309262 458742 463893 688113 927786 1158967 1376226 1391679 2317934 2783358 3476901 6953802 10430703 20861406 117055667 234111334 351167001 702334002 1053501003 2107002006