Search a number
-
+
6990000900 = 2235231751613
BaseRepresentation
bin1101000001010001…
…01111001100000100
3200001010220211121020
412200220233030010
5103303420012100
63113335551140
7335135012241
oct64050571404
920033824536
106990000900
112a67745153
121430b2b4b0
1387521490c
144a44b65c8
152ad9e15a0
hex1a0a2f304

6990000900 has 72 divisors (see below), whose sum is σ = 20876830464. Its totient is φ = 1803868800.

The previous prime is 6990000893. The next prime is 6990000929. The reversal of 6990000900 is 90000996.

It is a super-2 number, since 2×69900009002 = 97720225164001620000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366507 + ... + 385106.

Almost surely, 26990000900 is an apocalyptic number.

6990000900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6990000900 is an abundant number, since it is smaller than the sum of its proper divisors (13886829564).

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

6990000900 is a wasteful number, since it uses less digits than its factorization.

6990000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751661 (or 751654 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 6990000900 is about 83606.2252466884. The cubic root of 6990000900 is about 1912.0199111066.

The spelling of 6990000900 in words is "six billion, nine hundred ninety million, nine hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 751613 1503226 2254839 3006452 3758065 4509678 7516130 9019356 11274195 15032260 18790325 22548390 23300003 37580650 45096780 46600006 56370975 69900009 75161300 93200012 112741950 116500015 139800018 225483900 233000030 279600036 349500045 466000060 582500075 699000090 1165000150 1398000180 1747500225 2330000300 3495000450 6990000900