Search a number
-
+
2019923712 = 28324121383
BaseRepresentation
bin111100001100101…
…1001011100000000
312012202211202102100
41320121121130000
513114100024322
6532233550400
7101025032262
oct17031313400
95182752370
102019923712
11947215644
12484575400
13262631b41
141523a3b32
15bc4eadac
hex78659700

2019923712 has 108 divisors (see below), whose sum is σ = 5966264304. Its totient is φ = 656855040.

The previous prime is 2019923707. The next prime is 2019923729. The reversal of 2019923712 is 2173299102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83773 + ... + 105155.

It is an arithmetic number, because the mean of its divisors is an integer number (55243188).

Almost surely, 22019923712 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 2019923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983132152).

2019923712 is an abundant number, since it is smaller than the sum of its proper divisors (3946340592).

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

2019923712 is a wasteful number, since it uses less digits than its factorization.

2019923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2019923712 is about 44943.5614076143. The cubic root of 2019923712 is about 1264.0909511011.

The spelling of 2019923712 in words is "two billion, nineteen million, nine hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3936 5248 5904 7872 10496 11808 15744 21383 23616 31488 42766 47232 64149 85532 94464 128298 171064 192447 256596 342128 384894 513192 684256 769788 876703 1026384 1368512 1539576 1753406 2052768 2630109 2737024 3079152 3506812 4105536 5260218 5474048 6158304 7013624 7890327 8211072 10520436 12316608 14027248 15780654 16422144 21040872 24633216 28054496 31561308 42081744 49266432 56108992 63122616 84163488 112217984 126245232 168326976 224435968 252490464 336653952 504980928 673307904 1009961856 2019923712