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136661300 = 225217194231
BaseRepresentation
bin10000010010101…
…00100100110100
3100112011010001122
420021110210310
5234441130200
621321043112
73246413306
oct1011244464
9315133048
10136661300
1170161726
1239926498
132240b799
1414215976
15bee7385
hex8254934

136661300 has 72 divisors (see below), whose sum is σ = 330603840. Its totient is φ = 48729600.

The previous prime is 136661293. The next prime is 136661303. The reversal of 136661300 is 3166631.

It is a self number, because there is not a number n which added to its sum of digits gives 136661300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136661303) 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, 30185 + ... + 34415.

It is an arithmetic number, because the mean of its divisors is an integer number (4591720).

Almost surely, 2136661300 is an apocalyptic number.

136661300 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 136661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165301920).

136661300 is an abundant number, since it is smaller than the sum of its proper divisors (193942540).

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

136661300 is a wasteful number, since it uses less digits than its factorization.

136661300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 136661300 is about 11690.2224102025. Note that the first 3 decimals coincide. The cubic root of 136661300 is about 515.0884945486.

The spelling of 136661300 in words is "one hundred thirty-six million, six hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 4231 6460 8075 8462 16150 16924 21155 32300 42310 71927 80389 84620 105775 143854 160778 211550 287708 321556 359635 401945 423100 719270 803890 1366613 1438540 1607780 1798175 2009725 2733226 3596350 4019450 5466452 6833065 7192700 8038900 13666130 27332260 34165325 68330650 136661300