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2106233928 = 233414532237
BaseRepresentation
bin111110110001010…
…1001010001001000
312102210020202210000
41331202221101020
513303143441203
6544555523000
7103123456461
oct17542512110
95383222700
102106233928
11990a067a7
124a9459460
13277491486
1415da2dd68
15c4d994a3
hex7d8a9448

2106233928 has 80 divisors (see below), whose sum is σ = 5906104380. Its totient is φ = 701281152.

The previous prime is 2106233891. The next prime is 2106233929. The reversal of 2106233928 is 8293326012.

2106233928 is a `hidden beast` number, since 2 + 1 + 0 + 623 + 3 + 9 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1671010884 + 435223044 = 40878^2 + 20862^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2106233892 and 2106233901.

It is not an unprimeable number, because it can be changed into a prime (2106233929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 940426 + ... + 942662.

Almost surely, 22106233928 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 2106233928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953052190).

2106233928 is an abundant number, since it is smaller than the sum of its proper divisors (3799870452).

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

2106233928 is a wasteful number, since it uses less digits than its factorization.

2106233928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2106233928 is about 45893.7242768551. The cubic root of 2106233928 is about 1281.8450621302.

The spelling of 2106233928 in words is "two billion, one hundred six million, two hundred thirty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1453 2237 2906 4359 4474 5812 6711 8718 8948 11624 13077 13422 17436 17896 20133 26154 26844 34872 39231 40266 52308 53688 60399 78462 80532 104616 117693 120798 156924 161064 181197 235386 241596 313848 362394 470772 483192 724788 941544 1449576 3250361 6500722 9751083 13001444 19502166 26002888 29253249 39004332 58506498 78008664 87759747 117012996 175519494 234025992 263279241 351038988 526558482 702077976 1053116964 2106233928