Search a number
-
+
2072106744 = 2331714273559
BaseRepresentation
bin111101110000001…
…1101011011111000
312100102000221002020
41323200131123320
513220424403434
6541340234440
7102230421351
oct17340353370
95312027066
102072106744
11973717514
12499b3ba20
132703a2a86
141592a8d28
15c1da7849
hex7b81d6f8

2072106744 has 64 divisors (see below), whose sum is σ = 5490374400. Its totient is φ = 649434624.

The previous prime is 2072106697. The next prime is 2072106767. The reversal of 2072106744 is 4476012702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580437 + ... + 583995.

It is an arithmetic number, because the mean of its divisors is an integer number (85787100).

Almost surely, 22072106744 is an apocalyptic number.

2072106744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2072106744 is an abundant number, since it is smaller than the sum of its proper divisors (3418267656).

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

2072106744 is a wasteful number, since it uses less digits than its factorization.

2072106744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2072106744 is about 45520.3992073883. The cubic root of 2072106744 is about 1274.8841097280.

The spelling of 2072106744 in words is "two billion, seventy-two million, one hundred six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1427 2854 3559 4281 5708 7118 8562 10677 11416 14236 17124 21354 24259 28472 34248 42708 48518 60503 72777 85416 97036 121006 145554 181509 194072 242012 291108 363018 484024 582216 726036 1452072 5078693 10157386 15236079 20314772 30472158 40629544 60944316 86337781 121888632 172675562 259013343 345351124 518026686 690702248 1036053372 2072106744