Search a number
-
+
2138635920 = 243528573119
BaseRepresentation
bin111111101111000…
…1111111010010000
312112001012221221210
41333132033322100
513334442322140
6552114220120
7103666051101
oct17736177220
95461187853
102138635920
119a8227903
124b8284640
132810c7855
141640663a8
15c7b49d80
hex7f78fe90

2138635920 has 80 divisors (see below), whose sum is σ = 6634218240. Its totient is φ = 569920512.

The previous prime is 2138635907. The next prime is 2138635949. The reversal of 2138635920 is 295368312.

It is a tau number, because it is divible by the number of its divisors (80).

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, 684121 + ... + 687239.

It is an arithmetic number, because the mean of its divisors is an integer number (82927728).

Almost surely, 22138635920 is an apocalyptic number.

2138635920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138635920 is an abundant number, since it is smaller than the sum of its proper divisors (4495582320).

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

2138635920 is a wasteful number, since it uses less digits than its factorization.

2138635920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2138635920 is about 46245.3880943819. The cubic root of 2138635920 is about 1288.3848784856.

The spelling of 2138635920 in words is "two billion, one hundred thirty-eight million, six hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2857 3119 5714 6238 8571 9357 11428 12476 14285 15595 17142 18714 22856 24952 28570 31190 34284 37428 42855 45712 46785 49904 57140 62380 68568 74856 85710 93570 114280 124760 137136 149712 171420 187140 228560 249520 342840 374280 685680 748560 8910983 17821966 26732949 35643932 44554915 53465898 71287864 89109830 106931796 133664745 142575728 178219660 213863592 267329490 356439320 427727184 534658980 712878640 1069317960 2138635920