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136430000 = 245471949
BaseRepresentation
bin10000010000111…
…00000110110000
3100111201100202222
420020130012300
5234411230000
621312100212
73244431050
oct1010340660
9314640688
10136430000
1170013973
1239834668
132235a415
1414195560
15be9da85
hex821c1b0

136430000 has 100 divisors (see below), whose sum is σ = 377691600. Its totient is φ = 46752000.

The previous prime is 136429987. The next prime is 136430027. The reversal of 136430000 is 34631.

136430000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1364300002 = 37226289800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69026 + ... + 70974.

It is an arithmetic number, because the mean of its divisors is an integer number (3776916).

Almost surely, 2136430000 is an apocalyptic number.

136430000 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 136430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188845800).

136430000 is an abundant number, since it is smaller than the sum of its proper divisors (241261600).

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

136430000 is an equidigital number, since it uses as much as digits as its factorization.

136430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 136430000 is about 11680.3253379347. The cubic root of 136430000 is about 514.7977337478.

Adding to 136430000 its reverse (34631), we get a palindrome (136464631).

The spelling of 136430000 in words is "one hundred thirty-six million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 1949 2000 2500 2800 3500 3898 4375 5000 7000 7796 8750 9745 10000 13643 14000 15592 17500 19490 27286 31184 35000 38980 48725 54572 68215 70000 77960 97450 109144 136430 155920 194900 218288 243625 272860 341075 389800 487250 545720 682150 779600 974500 1091440 1218125 1364300 1705375 1949000 2436250 2728600 3410750 3898000 4872500 5457200 6821500 8526875 9745000 13643000 17053750 19490000 27286000 34107500 68215000 136430000