Search a number
-
+
60081264 = 243717101
BaseRepresentation
bin1110010100110…
…0010001110000
311012001110000000
43211030101300
5110340100024
65543430000
71326453015
oct345142160
9135043000
1060081264
1130a06a41
1218155300
13c5a7c59
147d9d70c
15541bcc9
hex394c470

60081264 has 160 divisors (see below), whose sum is σ = 186684480. Its totient is φ = 18662400.

The previous prime is 60081253. The next prime is 60081269. The reversal of 60081264 is 46218006.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60081269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 594814 + ... + 594914.

It is an arithmetic number, because the mean of its divisors is an integer number (1166778).

Almost surely, 260081264 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 60081264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93342240).

60081264 is an abundant number, since it is smaller than the sum of its proper divisors (126603216).

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

60081264 is a wasteful number, since it uses less digits than its factorization.

60081264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

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

The square root of 60081264 is about 7751.2104861112. The cubic root of 60081264 is about 391.6634276076.

The spelling of 60081264 in words is "sixty million, eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 101 102 108 136 144 153 162 202 204 216 243 272 303 306 324 404 408 432 459 486 606 612 648 729 808 816 909 918 972 1212 1224 1296 1377 1458 1616 1717 1818 1836 1944 2187 2424 2448 2727 2754 2916 3434 3636 3672 3888 4131 4374 4848 5151 5454 5508 5832 6868 7272 7344 8181 8262 8748 10302 10908 11016 11664 12393 13736 14544 15453 16362 16524 17496 20604 21816 22032 24543 24786 27472 30906 32724 33048 34992 37179 41208 43632 46359 49086 49572 61812 65448 66096 73629 74358 82416 92718 98172 99144 123624 130896 139077 147258 148716 185436 196344 198288 220887 247248 278154 294516 297432 370872 392688 417231 441774 556308 589032 594864 741744 834462 883548 1112616 1178064 1251693 1668924 1767096 2225232 2503386 3337848 3534192 3755079 5006772 6675696 7510158 10013544 15020316 20027088 30040632 60081264