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136028100 = 223521322683
BaseRepresentation
bin10000001101110…
…01111111000100
3100110221221110210
420012321333010
5234310344400
621255315420
73241135245
oct1006717704
9313857423
10136028100
116a869a1a
123967bb70
1322249500
14140ccccc
15be1e950
hex81b9fc4

136028100 has 108 divisors (see below), whose sum is σ = 426337296. Its totient is φ = 33471360.

The previous prime is 136028089. The next prime is 136028107. The reversal of 136028100 is 1820631.

136028100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1360281002 = 37007287979220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136028107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49359 + ... + 52041.

Almost surely, 2136028100 is an apocalyptic number.

136028100 is a gapful number since it is divisible by the number (10) 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 136028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213168648).

136028100 is an abundant number, since it is smaller than the sum of its proper divisors (290309196).

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

136028100 is a wasteful number, since it uses less digits than its factorization.

136028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 136028100 is about 11663.1085050256. The cubic root of 136028100 is about 514.2917338361.

Adding to 136028100 its reverse (1820631), we get a palindrome (137848731).

The spelling of 136028100 in words is "one hundred thirty-six million, twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 2683 3380 3900 4225 5070 5366 8049 8450 10140 10732 12675 13415 16098 16900 25350 26830 32196 34879 40245 50700 53660 67075 69758 80490 104637 134150 139516 160980 174395 201225 209274 268300 348790 402450 418548 453427 523185 697580 804900 871975 906854 1046370 1360281 1743950 1813708 2092740 2267135 2615925 2720562 3487900 4534270 5231850 5441124 6801405 9068540 10463700 11335675 13602810 22671350 27205620 34007025 45342700 68014050 136028100