Search a number
-
+
124221864 = 23313612107
BaseRepresentation
bin1110110011101…
…11100110101000
322122202010100210
413121313212220
5223300044424
620154301120
73035603604
oct731674650
9278663323
10124221864
11641357a8
12357277a0
131c974780
14126d8504
15ad8b729
hex76779a8

124221864 has 96 divisors (see below), whose sum is σ = 343193760. Its totient is φ = 37244160.

The previous prime is 124221863. The next prime is 124221869. The reversal of 124221864 is 468122421.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124221863) 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, 1160899 + ... + 1161005.

It is an arithmetic number, because the mean of its divisors is an integer number (3574935).

Almost surely, 2124221864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124221864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171596880).

124221864 is an abundant number, since it is smaller than the sum of its proper divisors (218971896).

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

124221864 is a wasteful number, since it uses less digits than its factorization.

124221864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 186 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 124221864 is about 11145.4862612629. The cubic root of 124221864 is about 498.9603249835.

The spelling of 124221864 in words is "one hundred twenty-four million, two hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 107 122 156 183 214 244 312 321 366 428 488 642 732 793 856 1284 1391 1464 1586 2379 2568 2782 3172 3721 4173 4758 5564 6344 6527 7442 8346 9516 11128 11163 13054 14884 16692 19032 19581 22326 26108 29768 33384 39162 44652 48373 52216 78324 84851 89304 96746 145119 156648 169702 193492 254553 290238 339404 386984 398147 509106 580476 678808 796294 1018212 1160952 1194441 1592588 2036424 2388882 3185176 4777764 5175911 9555528 10351822 15527733 20703644 31055466 41407288 62110932 124221864