Search a number
-
+
2160202752 = 21032415717
BaseRepresentation
bin1000000011000010…
…0001010000000000
312120112210200002100
42000300201100000
513411002442002
6554204350400
7104350264131
oct20060412000
95515720070
102160202752
11a09418334
12503545400
132857091a6
14166c7bc88
15c99aa11c
hex80c21400

2160202752 has 132 divisors (see below), whose sum is σ = 6390791316. Its totient is φ = 702382080.

The previous prime is 2160202747. The next prime is 2160202769. The reversal of 2160202752 is 2572020612.

2160202752 is a `hidden beast` number, since 2 + 1 + 602 + 0 + 2 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 580617216 + 1579585536 = 24096^2 + 39744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374998 + ... + 380714.

Almost surely, 22160202752 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 2160202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195395658).

2160202752 is an abundant number, since it is smaller than the sum of its proper divisors (4230588564).

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

2160202752 is a wasteful number, since it uses less digits than its factorization.

2160202752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2160202752 is about 46477.9813675250. The cubic root of 2160202752 is about 1292.7012586743.

The spelling of 2160202752 in words is "two billion, one hundred sixty million, two hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2304 2624 2952 3072 3936 4608 5248 5717 5904 7872 9216 10496 11434 11808 15744 17151 20992 22868 23616 31488 34302 41984 45736 47232 51453 62976 68604 91472 94464 102906 125952 137208 182944 188928 205812 234397 274416 365888 377856 411624 468794 548832 703191 731776 823248 937588 1097664 1406382 1463552 1646496 1875176 2109573 2195328 2812764 2927104 3292992 3750352 4219146 4390656 5625528 5854208 6585984 7500704 8438292 8781312 11251056 13171968 15001408 16876584 17562624 22502112 26343936 30002816 33753168 45004224 52687872 60005632 67506336 90008448 120011264 135012672 180016896 240022528 270025344 360033792 540050688 720067584 1080101376 2160202752