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2071080192 = 28347181317
BaseRepresentation
bin111101101110010…
…0010110100000000
312100100002202220210
41323130202310000
513220144031232
6541302234120
7102215614446
oct17334426400
95310082823
102071080192
11973086225
12499725940
1327010374c
141590bcb96
15c1c535cc
hex7b722d00

2071080192 has 144 divisors (see below), whose sum is σ = 5678330112. Its totient is φ = 669818880.

The previous prime is 2071080173. The next prime is 2071080197. The reversal of 2071080192 is 2910801702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071080197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6533218 + ... + 6533534.

It is an arithmetic number, because the mean of its divisors is an integer number (39432848).

Almost surely, 22071080192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839165056).

2071080192 is an abundant number, since it is smaller than the sum of its proper divisors (3607249920).

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

2071080192 is a wasteful number, since it uses less digits than its factorization.

2071080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 2071080192 is about 45509.1220745907. The cubic root of 2071080192 is about 1274.6735428708.

Adding to 2071080192 its reverse (2910801702), we get a palindrome (4981881894).

The spelling of 2071080192 in words is "two billion, seventy-one million, eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 181 188 192 256 282 317 362 376 384 543 564 634 724 752 768 951 1086 1128 1268 1448 1504 1902 2172 2256 2536 2896 3008 3804 4344 4512 5072 5792 6016 7608 8507 8688 9024 10144 11584 12032 14899 15216 17014 17376 18048 20288 23168 25521 29798 30432 34028 34752 36096 40576 44697 46336 51042 57377 59596 60864 68056 69504 81152 89394 102084 114754 119192 121728 136112 139008 172131 178788 204168 229508 238384 243456 272224 344262 357576 408336 459016 476768 544448 688524 715152 816672 918032 953536 1088896 1377048 1430304 1633344 1836064 1907072 2177792 2696719 2754096 2860608 3266688 3672128 3814144 5393438 5508192 5721216 6533376 7344256 8090157 10786876 11016384 11442432 14688512 16180314 21573752 22032768 32360628 43147504 44065536 64721256 86295008 129442512 172590016 258885024 345180032 517770048 690360064 1035540096 2071080192