Search a number
-
+
2106105690 = 2351317317663
BaseRepresentation
bin111110110001000…
…1001111101011010
312102210000020212110
41331202021331122
513303130340230
6544553053150
7103122413553
oct17542117532
95383006773
102106105690
11990929417
124a93b71b6
13277447cb0
1415d9d932a
15c4d714b0
hex7d889f5a

2106105690 has 64 divisors (see below), whose sum is σ = 5763695616. Its totient is φ = 487928832.

The previous prime is 2106105689. The next prime is 2106105697. The reversal of 2106105690 is 965016012.

It is a super-2 number, since 2×21061056902 = 8871362354900752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2106105697) 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, 152202 + ... + 165461.

It is an arithmetic number, because the mean of its divisors is an integer number (90057744).

Almost surely, 22106105690 is an apocalyptic number.

2106105690 is an abundant number, since it is smaller than the sum of its proper divisors (3657589926).

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

2106105690 is a wasteful number, since it uses less digits than its factorization.

2106105690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317703.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2106105690 is about 45892.3271364615. The cubic root of 2106105690 is about 1281.8190465674.

The spelling of 2106105690 in words is "two billion, one hundred six million, one hundred five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 317663 635326 952989 1588315 1905978 3176630 4129619 4764945 5400271 8259238 9529890 10800542 12388857 16200813 20648095 24777714 27001355 32401626 41296190 54002710 61944285 70203523 81004065 123888570 140407046 162008130 210610569 351017615 421221138 702035230 1053052845 2106105690