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2136909120 = 26355341999
BaseRepresentation
bin111111101011110…
…1010010101000000
312111220222020020020
41333113222111000
513334022042440
6552013213440
7103645266513
oct17727522500
95456866206
102136909120
119a72584a5
124b7791280
13280941888
14163b36d7a
15c79083d0
hex7f5ea540

2136909120 has 112 divisors (see below), whose sum is σ = 6912864000. Its totient is φ = 559077376.

The previous prime is 2136909101. The next prime is 2136909161. The reversal of 2136909120 is 219096312.

2136909120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 29881 + ... + 71879.

It is an arithmetic number, because the mean of its divisors is an integer number (61722000).

Almost surely, 22136909120 is an apocalyptic number.

2136909120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432000).

2136909120 is an abundant number, since it is smaller than the sum of its proper divisors (4775954880).

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

2136909120 is a wasteful number, since it uses less digits than its factorization.

2136909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42072 (or 42062 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2136909120 is about 46226.7143543644. The cubic root of 2136909120 is about 1288.0380246737.

The spelling of 2136909120 in words is "two billion, one hundred thirty-six million, nine hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 25440 41999 50880 83998 125997 167996 209995 251994 335992 419990 503988 629985 671984 839980 1007976 1259970 1343968 1679960 2015952 2225947 2519940 2687936 3359920 4031904 4451894 5039880 6677841 6719840 8063808 8903788 10079760 11129735 13355682 13439680 17807576 20159520 22259470 26711364 33389205 35615152 40319040 44518940 53422728 66778410 71230304 89037880 106845456 133556820 142460608 178075760 213690912 267113640 356151520 427381824 534227280 712303040 1068454560 2136909120