Search a number
-
+
55580140 = 225711217193
BaseRepresentation
bin1101010000000…
…1010111101100
310212120202121201
43110001113230
5103212031030
65303135244
71243265140
oct324012754
9125522551
1055580140
1129412200
1216744524
13b690275
14754b220
154d2d2ca
hex35015ec

55580140 has 144 divisors (see below), whose sum is σ = 156050496. Its totient is φ = 16220160.

The previous prime is 55580113. The next prime is 55580141. The reversal of 55580140 is 4108555.

55580140 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 55580099 and 55580108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55580141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287884 + ... + 288076.

It is an arithmetic number, because the mean of its divisors is an integer number (1083684).

Almost surely, 255580140 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 55580140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78025248).

55580140 is an abundant number, since it is smaller than the sum of its proper divisors (100470356).

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

55580140 is a wasteful number, since it uses less digits than its factorization.

55580140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 55580140 is about 7455.2089172605. The cubic root of 55580140 is about 381.6276902116.

Adding to 55580140 its reverse (4108555), we get a palindrome (59688695).

The spelling of 55580140 in words is "fifty-five million, five hundred eighty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 121 140 154 170 187 193 220 238 242 308 340 374 385 386 476 484 595 605 748 770 772 847 935 965 1190 1210 1309 1351 1540 1694 1870 1930 2057 2123 2380 2420 2618 2702 3281 3388 3740 3860 4114 4235 4246 5236 5404 6545 6562 6755 8228 8470 8492 10285 10615 13090 13124 13510 14399 14861 16405 16940 20570 21230 22967 23353 26180 27020 28798 29722 32810 36091 41140 42460 45934 46706 57596 59444 65620 71995 72182 74305 91868 93412 114835 116765 143990 144364 148610 163471 180455 229670 233530 252637 287980 297220 326942 360910 397001 459340 467060 505274 653884 721820 794002 817355 1010548 1263185 1588004 1634710 1985005 2526370 2779007 3269420 3970010 5052740 5558014 7940020 11116028 13895035 27790070 55580140