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2115123072 = 27343912547
BaseRepresentation
bin111111000010010…
…0011011110000000
312110101222101101120
41332010203132000
513312432414242
6545514232240
7103262151366
oct17604433600
95411871346
102115123072
11995a282a7
124b0425680
1327928451a
14160ca5636
15c5a531ec
hex7e123780

2115123072 has 64 divisors (see below), whose sum is σ = 5631542400. Its totient is φ = 703378944.

The previous prime is 2115123071. The next prime is 2115123077. The reversal of 2115123072 is 2703215112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115123071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162303 + ... + 174849.

It is an arithmetic number, because the mean of its divisors is an integer number (87992850).

Almost surely, 22115123072 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 2115123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815771200).

2115123072 is an abundant number, since it is smaller than the sum of its proper divisors (3516419328).

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

2115123072 is a wasteful number, since it uses less digits than its factorization.

2115123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003 (or 12991 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2115123072 is about 45990.4671861463. The cubic root of 2115123072 is about 1283.6458296662.

Adding to 2115123072 its reverse (2703215112), we get a palindrome (4818338184).

The spelling of 2115123072 in words is "two billion, one hundred fifteen million, one hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 878 1317 1756 2634 3512 5268 7024 10536 12547 14048 21072 25094 28096 37641 42144 50188 56192 75282 84288 100376 150564 168576 200752 301128 401504 602256 803008 1204512 1606016 2409024 4818048 5508133 11016266 16524399 22032532 33048798 44065064 66097596 88130128 132195192 176260256 264390384 352520512 528780768 705041024 1057561536 2115123072