Search a number
-
+
990743664 = 24320640493
BaseRepresentation
bin111011000011011…
…000110001110000
32120001020222210210
4323003120301300
54012112244124
6242151024120
733360116331
oct7303306160
92501228723
10990743664
11469281419
1223796b040
1312a348c71
149581c288
155bea3a29
hex3b0d8c70

990743664 has 20 divisors (see below), whose sum is σ = 2559421256. Its totient is φ = 330247872.

The previous prime is 990743651. The next prime is 990743671. The reversal of 990743664 is 466347099.

It is a super-3 number, since 3×9907436643 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 20640493 = 990743664 / (9 + 9 + 0 + 7 + 4 + 3 + 6 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10320199 + ... + 10320294.

Almost surely, 2990743664 is an apocalyptic number.

It is an amenable number.

990743664 is an abundant number, since it is smaller than the sum of its proper divisors (1568677592).

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

990743664 is a wasteful number, since it uses less digits than its factorization.

990743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20640504 (or 20640498 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 990743664 is about 31476.0808233808. The cubic root of 990743664 is about 996.9049854340.

The spelling of 990743664 in words is "nine hundred ninety million, seven hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 20640493 41280986 61921479 82561972 123842958 165123944 247685916 330247888 495371832 990743664