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6890121940 = 22513143318493
BaseRepresentation
bin1100110101010111…
…01110101011010100
3122210011222110102111
412122223232223110
5103102332400230
63055411120404
7332513033032
oct63253565324
918704873374
106890121940
112a16326659
1214035a3104
1385a614240
14495117552
152a4d6292a
hex19aaeead4

6890121940 has 48 divisors (see below), whose sum is σ = 15593992848. Its totient is φ = 2542132224.

The previous prime is 6890121883. The next prime is 6890121971. The reversal of 6890121940 is 491210986.

It can be written as a sum of positive squares in 8 ways, for example, as 123743376 + 6766378564 = 11124^2 + 82258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6890121893 and 6890121902.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 363334 + ... + 381826.

It is an arithmetic number, because the mean of its divisors is an integer number (324874851).

Almost surely, 26890121940 is an apocalyptic number.

It is an amenable number.

6890121940 is an abundant number, since it is smaller than the sum of its proper divisors (8703870908).

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

6890121940 is a wasteful number, since it uses less digits than its factorization.

6890121940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19946 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 6890121940 is about 83006.7583995424. The cubic root of 6890121940 is about 1902.8693432623.

The spelling of 6890121940 in words is "six billion, eight hundred ninety million, one hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1433 2866 5732 7165 14330 18493 18629 28660 36986 37258 73972 74516 92465 93145 184930 186290 240409 369860 372580 480818 961636 1202045 2404090 4808180 26500469 53000938 106001876 132502345 265004690 344506097 530009380 689012194 1378024388 1722530485 3445060970 6890121940