Search a number
-
+
124215040 = 285531831
BaseRepresentation
bin1110110011101…
…01111100000000
322122201210000001
413121311330000
5223244340130
620154205344
73035544655
oct731657400
9278653001
10124215040
1164130664
1235723854
131c971631
14126d5c2c
15ad896ca
hex7675f00

124215040 has 72 divisors (see below), whose sum is σ = 303313248. Its totient is φ = 48721920.

The previous prime is 124215037. The next prime is 124215041. The reversal of 124215040 is 40512421.

It is a junction number, because it is equal to n+sod(n) for n = 124214999 and 124215017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124215041) 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, 66925 + ... + 68755.

It is an arithmetic number, because the mean of its divisors is an integer number (4212684).

Almost surely, 2124215040 is an apocalyptic number.

124215040 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 124215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656624).

124215040 is an abundant number, since it is smaller than the sum of its proper divisors (179098208).

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

124215040 is an equidigital number, since it uses as much as digits as its factorization.

124215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 124215040 is about 11145.1801241613. The cubic root of 124215040 is about 498.9511881925.

Adding to 124215040 its reverse (40512421), we get a palindrome (164727461).

The spelling of 124215040 in words is "one hundred twenty-four million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 1831 2120 3392 3662 4240 6784 7324 8480 9155 13568 14648 16960 18310 29296 33920 36620 58592 67840 73240 97043 117184 146480 194086 234368 292960 388172 468736 485215 585920 776344 970430 1171840 1552688 1940860 2343680 3105376 3881720 6210752 7763440 12421504 15526880 24843008 31053760 62107520 124215040