Search a number
-
+
141205400 = 23527172349
BaseRepresentation
bin10000110101010…
…01111110011000
3100211200222101122
420122221332120
5242122033100
622002304412
73333140360
oct1032517630
9324628348
10141205400
1172785786
123b358108
132333cbbb
1414a799a0
15c5e3985
hex86a9f98

141205400 has 144 divisors (see below), whose sum is σ = 399714000. Its totient is φ = 45434880.

The previous prime is 141205399. The next prime is 141205411. The reversal of 141205400 is 4502141.

141205400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404426 + ... + 404774.

Almost surely, 2141205400 is an apocalyptic number.

141205400 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 141205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199857000).

141205400 is an abundant number, since it is smaller than the sum of its proper divisors (258508600).

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

141205400 is a wasteful number, since it uses less digits than its factorization.

141205400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 141205400 is about 11882.9878397649. The cubic root of 141205400 is about 520.7353993285.

Adding to 141205400 its reverse (4502141), we get a palindrome (145707541).

The spelling of 141205400 in words is "one hundred forty-one million, two hundred five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 289 340 349 350 425 476 578 595 680 698 700 850 952 1156 1190 1396 1400 1445 1700 1745 2023 2312 2380 2443 2792 2890 2975 3400 3490 4046 4760 4886 5780 5933 5950 6980 7225 8092 8725 9772 10115 11560 11866 11900 12215 13960 14450 16184 17450 19544 20230 23732 23800 24430 28900 29665 34900 40460 41531 47464 48860 50575 57800 59330 61075 69800 80920 83062 97720 100861 101150 118660 122150 148325 166124 201722 202300 207655 237320 244300 296650 332248 403444 404600 415310 488600 504305 593300 706027 806888 830620 1008610 1038275 1186600 1412054 1661240 2017220 2076550 2521525 2824108 3530135 4034440 4153100 5043050 5648216 7060270 8306200 10086100 14120540 17650675 20172200 28241080 35301350 70602700 141205400