Search a number
-
+
60280416 = 253379967
BaseRepresentation
bin1110010111110…
…0111001100000
311012102120012000
43211330321200
5110412433131
65552004000
71331242440
oct345747140
9135376160
1060280416
1131032629
1218230600
13c6477b1
148012120
15545ace6
hex397ce60

60280416 has 96 divisors (see below), whose sum is σ = 200954880. Its totient is φ = 17221248.

The previous prime is 60280393. The next prime is 60280417. The reversal of 60280416 is 61408206.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 60280416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60280417) 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, 1065 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (2093280).

Almost surely, 260280416 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 60280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100477440).

60280416 is an abundant number, since it is smaller than the sum of its proper divisors (140674464).

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

60280416 is a wasteful number, since it uses less digits than its factorization.

60280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 60280416 is about 7764.0463677132. The cubic root of 60280416 is about 392.0957006382.

It can be divided in two parts, 602 and 80416, that added together give a palindrome (81018).

The spelling of 60280416 in words is "sixty million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 9967 19934 29901 39868 59802 69769 79736 89703 119604 139538 159472 179406 209307 239208 269109 279076 318944 358812 418614 478416 538218 558152 627921 717624 837228 956832 1076436 1116304 1255842 1435248 1674456 1883763 2152872 2232608 2511684 2870496 3348912 3767526 4305744 5023368 6697824 7535052 8611488 10046736 15070104 20093472 30140208 60280416