Search a number
-
+
141424220 = 22571979673
BaseRepresentation
bin10000110110111…
…11011001011100
3100212010002120002
420123133121130
5242201033340
622011113432
73335041340
oct1033373134
9325102502
10141424220
1172915123
123b442878
13233b8692
1414ad5620
15c638715
hex86df65c

141424220 has 96 divisors (see below), whose sum is σ = 362342400. Its totient is φ = 45287424.

The previous prime is 141424219. The next prime is 141424237. The reversal of 141424220 is 22424141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141424192 and 141424201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209804 + ... + 210476.

It is an arithmetic number, because the mean of its divisors is an integer number (3774400).

Almost surely, 2141424220 is an apocalyptic number.

141424220 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 141424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181171200).

141424220 is an abundant number, since it is smaller than the sum of its proper divisors (220918180).

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

141424220 is a wasteful number, since it uses less digits than its factorization.

141424220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 141424220 is about 11892.1915558067. The cubic root of 141424220 is about 521.0042476656.

Adding to 141424220 its reverse (22424141), we get a palindrome (163848361).

The spelling of 141424220 in words is "one hundred forty-one million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 79 95 133 140 158 190 266 316 380 395 532 553 665 673 790 1106 1330 1346 1501 1580 2212 2660 2692 2765 3002 3365 4711 5530 6004 6730 7505 9422 10507 11060 12787 13460 15010 18844 21014 23555 25574 30020 42028 47110 51148 52535 53167 63935 89509 94220 105070 106334 127870 179018 210140 212668 255740 265835 358036 372169 447545 531670 744338 895090 1010173 1063340 1488676 1790180 1860845 2020346 3721690 4040692 5050865 7071211 7443380 10101730 14142422 20203460 28284844 35356055 70712110 141424220