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2072682192 = 243735917183
BaseRepresentation
bin111101110001010…
…1001111011010000
312100110010011110010
41323202221323100
513221101312232
6541400434520
7102235336140
oct17342517320
95313104403
102072682192
11973a7a899
1249a178a40
13270544989
141593b8920
15c1e6d0cc
hex7b8a9ed0

2072682192 has 80 divisors (see below), whose sum is σ = 6136750080. Its totient is φ = 590510976.

The previous prime is 2072682167. The next prime is 2072682193. The reversal of 2072682192 is 2912862702.

It is a super-2 number, since 2×20726821922 = 8592022938067849728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2072682192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072682193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112033 + ... + 129215.

It is an arithmetic number, because the mean of its divisors is an integer number (76709376).

Almost surely, 22072682192 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 2072682192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068375040).

2072682192 is an abundant number, since it is smaller than the sum of its proper divisors (4064067888).

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

2072682192 is a wasteful number, since it uses less digits than its factorization.

2072682192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17560 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2072682192 is about 45526.7195391893. The cubic root of 2072682192 is about 1275.0021154905.

The spelling of 2072682192 in words is "two billion, seventy-two million, six hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 359 718 1077 1436 2154 2513 2872 4308 5026 5744 7539 8616 10052 15078 17183 17232 20104 30156 34366 40208 51549 60312 68732 103098 120281 120624 137464 206196 240562 274928 360843 412392 481124 721686 824784 962248 1443372 1924496 2886744 5773488 6168697 12337394 18506091 24674788 37012182 43180879 49349576 74024364 86361758 98699152 129542637 148048728 172723516 259085274 296097456 345447032 518170548 690894064 1036341096 2072682192