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2136236328 = 23356431709
BaseRepresentation
bin111111101010100…
…0110000100101000
312111212201001100000
41333111012010220
513333334030303
6551550543000
7103636465152
oct17725060450
95455631300
102136236328
119a6938a76
124b7507a60
13280767585
141639ddad2
15c7823da3
hex7f546128

2136236328 has 96 divisors (see below), whose sum is σ = 6012770400. Its totient is φ = 710555328.

The previous prime is 2136236327. The next prime is 2136236341. The reversal of 2136236328 is 8236326312.

It is a happy number.

2136236328 is a `hidden beast` number, since 2 + 1 + 3 + 623 + 6 + 3 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2136236292 and 2136236301.

It is not an unprimeable number, because it can be changed into a prime (2136236327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249138 + ... + 1250846.

It is an arithmetic number, because the mean of its divisors is an integer number (62633025).

Almost surely, 22136236328 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 2136236328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006385200).

2136236328 is an abundant number, since it is smaller than the sum of its proper divisors (3876534072).

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

2136236328 is a wasteful number, since it uses less digits than its factorization.

2136236328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2357 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2136236328 is about 46219.4366906391. The cubic root of 2136236328 is about 1287.9028336741.

The spelling of 2136236328 in words is "two billion, one hundred thirty-six million, two hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 643 648 972 1286 1709 1929 1944 2572 3418 3858 5127 5144 5787 6836 7716 10254 11574 13672 15381 15432 17361 20508 23148 30762 34722 41016 46143 46296 52083 61524 69444 92286 104166 123048 138429 138888 156249 184572 208332 276858 312498 369144 415287 416664 553716 624996 830574 1098887 1107432 1249992 1661148 2197774 3296661 3322296 4395548 6593322 8791096 9889983 13186644 19779966 26373288 29669949 39559932 59339898 79119864 89009847 118679796 178019694 237359592 267029541 356039388 534059082 712078776 1068118164 2136236328