Search a number
-
+
60224960 = 26553267
BaseRepresentation
bin1110010110111…
…1010111000000
311012022202010002
43211233113000
5110404144320
65550455132
71330621655
oct345572700
9135282102
1060224960
1130aa49a4
12182044a8
13c628493
147dd9c2c
155449675
hex396f5c0

60224960 has 84 divisors (see below), whose sum is σ = 148349208. Its totient is φ = 23282688.

The previous prime is 60224959. The next prime is 60224963. The reversal of 60224960 is 6942206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60224963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898847 + ... + 898913.

It is an arithmetic number, because the mean of its divisors is an integer number (1766062).

Almost surely, 260224960 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 60224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74174604).

60224960 is an abundant number, since it is smaller than the sum of its proper divisors (88124248).

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

60224960 is an equidigital number, since it uses as much as digits as its factorization.

60224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 60224960 is about 7760.4742123146. The cubic root of 60224960 is about 391.9754253649.

The spelling of 60224960 in words is "sixty million, two hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 67 80 106 134 160 212 265 268 320 335 424 530 536 670 848 1060 1072 1340 1696 2120 2144 2680 2809 3392 3551 4240 4288 5360 5618 7102 8480 10720 11236 14045 14204 16960 17755 21440 22472 28090 28408 35510 44944 56180 56816 71020 89888 112360 113632 142040 179776 188203 224720 227264 284080 376406 449440 568160 752812 898880 941015 1136320 1505624 1882030 3011248 3764060 6022496 7528120 12044992 15056240 30112480 60224960