Search a number
-
+
122504060 = 22575914831
BaseRepresentation
bin1110100110101…
…00001101111100
322112111211222102
413103110031330
5222330112220
620053404232
73015160460
oct723241574
9275454872
10122504060
1163172128
1235039678
131c4c2913
14123ac4a0
15ab4c775
hex74d437c

122504060 has 48 divisors (see below), whose sum is σ = 299013120. Its totient is φ = 41286720.

The previous prime is 122504051. The next prime is 122504069. The reversal of 122504060 is 60405221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122504051) and next prime (122504069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122504069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845 + ... + 15675.

It is an arithmetic number, because the mean of its divisors is an integer number (6229440).

Almost surely, 2122504060 is an apocalyptic number.

122504060 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 122504060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

122504060 is an abundant number, since it is smaller than the sum of its proper divisors (176509060).

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

122504060 is a wasteful number, since it uses less digits than its factorization.

122504060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14906 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122504060 is about 11068.1552211739. The cubic root of 122504060 is about 496.6496808649.

Adding to 122504060 its reverse (60405221), we get a palindrome (182909281).

The spelling of 122504060 in words is "one hundred twenty-two million, five hundred four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 14831 29662 59324 74155 103817 148310 207634 296620 415268 519085 875029 1038170 1750058 2076340 3500116 4375145 6125203 8750290 12250406 17500580 24500812 30626015 61252030 122504060