Search a number
-
+
60054330 = 23573759131
BaseRepresentation
bin1110010100010…
…1101100111010
311012000002001110
43211011230322
5110333214310
65543101150
71326311340
oct345055472
9135002043
1060054330
1130998786
12181417b6
13c59890b
147d93990
155413d20
hex3945b3a

60054330 has 128 divisors (see below), whose sum is σ = 173352960. Its totient is φ = 13029120.

The previous prime is 60054289. The next prime is 60054343. The reversal of 60054330 is 3345006.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 60054297 and 60054306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458365 + ... + 458495.

It is an arithmetic number, because the mean of its divisors is an integer number (1354320).

Almost surely, 260054330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60054330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86676480).

60054330 is an abundant number, since it is smaller than the sum of its proper divisors (113298630).

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

60054330 is a wasteful number, since it uses less digits than its factorization.

60054330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 60054330 is about 7749.4728853000. The cubic root of 60054330 is about 391.6048922240.

Adding to 60054330 its reverse (3345006), we get a palindrome (63399336).

The spelling of 60054330 in words is "sixty million, fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 59 70 74 105 111 118 131 177 185 210 222 259 262 295 354 370 393 413 518 555 590 655 777 786 826 885 917 1110 1239 1295 1310 1554 1770 1834 1965 2065 2183 2478 2590 2751 3885 3930 4130 4366 4585 4847 5502 6195 6549 7729 7770 9170 9694 10915 12390 13098 13755 14541 15281 15458 21830 23187 24235 27510 29082 30562 32745 33929 38645 45843 46374 48470 54103 65490 67858 72705 76405 77290 91686 101787 108206 115935 145410 152810 162309 169645 203574 229215 231870 270515 285973 324618 339290 458430 508935 541030 571946 811545 857919 1017870 1429865 1623090 1715838 2001811 2859730 4003622 4289595 6005433 8579190 10009055 12010866 20018110 30027165 60054330