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6920391006 = 234672812269
BaseRepresentation
bin1100111000111110…
…01100100101011110
3122212021221021210000
412130133030211132
5103133110003011
63102411555130
7333331232034
oct63437144536
918767837700
106920391006
112a31420211
12141175baa6
13863981829
14499156554
152a7841356
hex19c7cc95e

6920391006 has 80 divisors (see below), whose sum is σ = 15801215760. Its totient is φ = 2263282560.

The previous prime is 6920391001. The next prime is 6920391007. The reversal of 6920391006 is 6001930296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6920391001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3048840 + ... + 3051108.

It is an arithmetic number, because the mean of its divisors is an integer number (197515197).

Almost surely, 26920391006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6920391006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900607880).

6920391006 is an abundant number, since it is smaller than the sum of its proper divisors (8880824754).

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

6920391006 is a wasteful number, since it uses less digits than its factorization.

6920391006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6920391006 is about 83188.8875151002. The cubic root of 6920391006 is about 1905.6517777190.

The spelling of 6920391006 in words is "six billion, nine hundred twenty million, three hundred ninety-one thousand, six".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 281 402 562 603 843 1206 1686 1809 2269 2529 3618 4538 5058 5427 6807 7587 10854 13614 15174 18827 20421 22761 37654 40842 45522 56481 61263 112962 122526 152023 169443 183789 304046 338886 367578 456069 508329 637589 912138 1016658 1275178 1368207 1524987 1912767 2736414 3049974 3825534 4104621 5738301 8209242 11476602 12313863 17214903 24627726 34429806 42718463 51644709 85436926 103289418 128155389 256310778 384466167 768932334 1153398501 2306797002 3460195503 6920391006