Search a number
-
+
124316416 = 287173401
BaseRepresentation
bin1110110100011…
…10101100000000
322122220221001201
413122032230000
5223311111131
620200310544
73036446350
oct732165400
9278827051
10124316416
116419a844
1235772454
131c9a8813
1412720b60
15ada9761
hex768eb00

124316416 has 72 divisors (see below), whose sum is σ = 285947424. Its totient is φ = 52838400.

The previous prime is 124316399. The next prime is 124316419. The reversal of 124316416 is 614613421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124316419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309816 + ... + 310216.

It is an arithmetic number, because the mean of its divisors is an integer number (3971492).

Almost surely, 2124316416 is an apocalyptic number.

124316416 is a gapful number since it is divisible by the number (16) 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 124316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142973712).

124316416 is an abundant number, since it is smaller than the sum of its proper divisors (161631008).

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

124316416 is an equidigital number, since it uses as much as digits as its factorization.

124316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 124316416 is about 11149.7271715500. The cubic root of 124316416 is about 499.0868881352.

Adding to 124316416 its reverse (614613421), we get a palindrome (738929837).

The spelling of 124316416 in words is "one hundred twenty-four million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 256 346 401 448 692 802 896 1211 1384 1604 1792 2422 2768 2807 3208 4844 5536 5614 6416 9688 11072 11228 12832 19376 22144 22456 25664 38752 44288 44912 51328 69373 77504 89824 102656 138746 155008 179648 277492 310016 359296 485611 554984 718592 971222 1109968 1942444 2219936 3884888 4439872 7769776 8879744 15539552 17759488 31079104 62158208 124316416