Search a number
-
+
60189264 = 2433197333
BaseRepresentation
bin1110010110011…
…0101001010000
311012020221011000
43211212221100
5110402024024
65550022000
71330412622
oct345465120
9135227130
1060189264
1130a800a3
12181a7900
13c615165
147dcac12
15543dcc9
hex3966a50

60189264 has 80 divisors (see below), whose sum is σ = 181883200. Its totient is φ = 19004544.

The previous prime is 60189253. The next prime is 60189313. The reversal of 60189264 is 46298106.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4542 + ... + 11874.

It is an arithmetic number, because the mean of its divisors is an integer number (2273540).

Almost surely, 260189264 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 60189264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90941600).

60189264 is an abundant number, since it is smaller than the sum of its proper divisors (121693936).

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

60189264 is a wasteful number, since it uses less digits than its factorization.

60189264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 60189264 is about 7758.1740119696. The cubic root of 60189264 is about 391.8979673359.

The spelling of 60189264 in words is "sixty million, one hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 7333 8208 14666 21999 29332 43998 58664 65997 87996 117328 131994 139327 175992 197991 263988 278654 351984 395982 417981 527976 557308 791964 835962 1055952 1114616 1253943 1583928 1671924 2229232 2507886 3167856 3343848 3761829 5015772 6687696 7523658 10031544 15047316 20063088 30094632 60189264