[go: up one dir, main page]

Search a number
-
+
60055560 = 23335173271
BaseRepresentation
bin1110010100011…
…0000000001000
311012000010202000
43211012000020
5110333234220
65543111000
71326315045
oct345060010
9135003660
1060055560
11309996a4
1218142460
13c599346
147d941cc
155414390
hex3946008

60055560 has 128 divisors (see below), whose sum is σ = 212025600. Its totient is φ = 15068160.

The previous prime is 60055531. The next prime is 60055573. The reversal of 60055560 is 6555006.

60055560 is a `hidden beast` number, since 600 + 5 + 5 + 56 + 0 = 666.

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16725 + ... + 19995.

It is an arithmetic number, because the mean of its divisors is an integer number (1656450).

Almost surely, 260055560 is an apocalyptic number.

60055560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106012800).

60055560 is an abundant number, since it is smaller than the sum of its proper divisors (151970040).

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

60055560 is a wasteful number, since it uses less digits than its factorization.

60055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 60055560 is about 7749.5522451300. The cubic root of 60055560 is about 391.6075657516.

The spelling of 60055560 in words is "sixty million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3271 3672 4590 6120 6542 9180 9813 13084 16355 18360 19626 26168 29439 32710 39252 49065 55607 58878 65420 78504 88317 98130 111214 117756 130840 147195 166821 176634 196260 222428 235512 278035 294390 333642 353268 392520 441585 444856 500463 556070 588780 667284 706536 834105 883170 1000926 1112140 1177560 1334568 1501389 1668210 1766340 2001852 2224280 2502315 3002778 3336420 3532680 4003704 5004630 6005556 6672840 7506945 10009260 12011112 15013890 20018520 30027780 60055560