Search a number
-
+
60122880 = 2832517307
BaseRepresentation
bin1110010101011…
…0011100000000
311012010120002100
43211112130000
5110342413010
65544350400
71330015236
oct345263400
9135116070
1060122880
1130a35234
1218175400
13c5c0b8c
147db0956
1554292c0
hex3956700

60122880 has 216 divisors, whose sum is σ = 220972752. Its totient is φ = 15040512.

The previous prime is 60122869. The next prime is 60122899. The reversal of 60122880 is 8822106.

It is a super-2 number, since 2×601228802 = 7229521398988800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195687 + ... + 195993.

It is an arithmetic number, because the mean of its divisors is an integer number (1023022).

Almost surely, 260122880 is an apocalyptic number.

60122880 is a gapful number since it is divisible by the number (60) 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 60122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110486376).

60122880 is an abundant number, since it is smaller than the sum of its proper divisors (160849872).

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

60122880 is a wasteful number, since it uses less digits than its factorization.

60122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 60122880 is about 7753.8945053438. The cubic root of 60122880 is about 391.7538368424.

Adding to 60122880 its reverse (8822106), we get a palindrome (68944986).

The spelling of 60122880 in words is "sixty million, one hundred twenty-two thousand, eight hundred eighty".