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6920022006 = 23217237313469
BaseRepresentation
bin1100111000111011…
…10010011111110110
3122212021020112121100
412130131302133312
5103133011201011
63102400030530
7333325134162
oct63435623766
918767215540
106920022006
112a31198a57
121411602446
138638828a1
1449909bca2
152a77bbd56
hex19c7727f6

6920022006 has 96 divisors (see below), whose sum is σ = 16793749440. Its totient is φ = 2047997952.

The previous prime is 6920021993. The next prime is 6920022019. The reversal of 6920022006 is 6002200296.

It is an interprime number because it is at equal distance from previous prime (6920021993) and next prime (6920022019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507040 + ... + 520508.

It is an arithmetic number, because the mean of its divisors is an integer number (174934890).

Almost surely, 26920022006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6920022006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396874720).

6920022006 is an abundant number, since it is smaller than the sum of its proper divisors (9873727434).

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

6920022006 is a wasteful number, since it uses less digits than its factorization.

6920022006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6920022006 is about 83186.6696412352. The cubic root of 6920022006 is about 1905.6179068966.

The spelling of 6920022006 in words is "six billion, nine hundred twenty million, twenty-two thousand, six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 73 102 138 146 153 207 219 306 391 414 438 657 782 1173 1241 1314 1679 2346 2482 3358 3519 3723 5037 7038 7446 10074 11169 13469 15111 22338 26938 28543 30222 40407 57086 80814 85629 121221 171258 228973 242442 256887 309787 457946 513774 619574 686919 929361 983237 1373838 1858722 1966474 2060757 2788083 2949711 4121514 5266379 5576166 5899422 8849133 10532758 15799137 16715029 17698266 22614451 31598274 33430058 45228902 47397411 50145087 67843353 94794822 100290174 135686706 150435261 203530059 300870522 384445667 407060118 768891334 1153337001 2306674002 3460011003 6920022006