Search a number
-
+
55104140 = 225713217137
BaseRepresentation
bin1101001000110…
…1001010001100
310211200120200002
43102031022030
5103101313030
65245023432
71236243320
oct322151214
9124616602
1055104140
1129117613
1216554b78
13b554700
147465980
154c87245
hex348d28c

55104140 has 144 divisors (see below), whose sum is σ = 152736192. Its totient is φ = 16293888.

The previous prime is 55104131. The next prime is 55104149. The reversal of 55104140 is 4140155.

It is an interprime number because it is at equal distance from previous prime (55104131) and next prime (55104149).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (55104149) 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 47 ways as a sum of consecutive naturals, for example, 402152 + ... + 402288.

It is an arithmetic number, because the mean of its divisors is an integer number (1060668).

Almost surely, 255104140 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 55104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76368096).

55104140 is an abundant number, since it is smaller than the sum of its proper divisors (97632052).

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

55104140 is a wasteful number, since it uses less digits than its factorization.

55104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 55104140 is about 7423.2162840645. The cubic root of 55104140 is about 380.5351186646.

Adding to 55104140 its reverse (4140155), we get a palindrome (59244295).

The spelling of 55104140 in words is "fifty-five million, one hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 137 140 169 170 182 221 238 260 274 338 340 364 442 455 476 548 595 676 685 845 884 910 959 1105 1183 1190 1370 1547 1690 1781 1820 1918 2210 2329 2366 2380 2740 2873 3094 3380 3562 3836 4420 4658 4732 4795 5746 5915 6188 7124 7735 8905 9316 9590 11492 11645 11830 12467 14365 15470 16303 17810 19180 20111 23153 23290 23660 24934 28730 30277 30940 32606 35620 40222 46306 46580 49868 57460 60554 62335 65212 80444 81515 92612 100555 115765 121108 124670 151385 162071 163030 201110 211939 231530 249340 302770 324142 326060 393601 402220 423878 463060 605540 648284 787202 810355 847756 1059695 1574404 1620710 1968005 2119390 2755207 3241420 3936010 4238780 5510414 7872020 11020828 13776035 27552070 55104140