Search a number
-
+
2070605010 = 235317928183
BaseRepresentation
bin111101101101010…
…1110110011010010
312100022012122002110
41323122232303102
513220033330020
6541244130150
7102211565205
oct17332566322
95308178073
102070605010
11972891211
12499536956
1326cc98386
14158dd793c
15c1bac8e0
hex7b6aecd2

2070605010 has 64 divisors (see below), whose sum is σ = 5194874880. Its totient is φ = 527567040.

The previous prime is 2070604999. The next prime is 2070605023. The reversal of 2070605010 is 105060702.

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, 59379 + ... + 87561.

It is an arithmetic number, because the mean of its divisors is an integer number (81169920).

Almost surely, 22070605010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070605010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597437440).

2070605010 is an abundant number, since it is smaller than the sum of its proper divisors (3124269870).

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

2070605010 is a wasteful number, since it uses less digits than its factorization.

2070605010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28303.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2070605010 is about 45503.9010415591. The cubic root of 2070605010 is about 1274.5760497438.

Adding to 2070605010 its reverse (105060702), we get a palindrome (2175665712).

The spelling of 2070605010 in words is "two billion, seventy million, six hundred five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 79 93 155 158 186 237 310 395 465 474 790 930 1185 2370 2449 4898 7347 12245 14694 24490 28183 36735 56366 73470 84549 140915 169098 281830 422745 845490 873673 1747346 2226457 2621019 4368365 4452914 5242038 6679371 8736730 11132285 13105095 13358742 22264570 26210190 33396855 66793710 69020167 138040334 207060501 345100835 414121002 690201670 1035302505 2070605010