Search a number
-
+
55096560 = 24325591297
BaseRepresentation
bin1101001000101…
…1010011110000
310211200012021100
43102023103300
5103101042220
65244524400
71236212241
oct322132360
9124605240
1055096560
1129111952
1216550700
13b55111c
147462cc8
154c84d90
hex348b4f0

55096560 has 120 divisors (see below), whose sum is σ = 188313840. Its totient is φ = 14432256.

The previous prime is 55096553. The next prime is 55096577. The reversal of 55096560 is 6569055.

55096560 is a `hidden beast` number, since 5 + 5 + 0 + 96 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41832 + ... + 43128.

It is an arithmetic number, because the mean of its divisors is an integer number (1569282).

Almost surely, 255096560 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 55096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94156920).

55096560 is an abundant number, since it is smaller than the sum of its proper divisors (133217280).

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

55096560 is a wasteful number, since it uses less digits than its factorization.

55096560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 55096560 is about 7422.7057061425. The cubic root of 55096560 is about 380.5176693497.

The spelling of 55096560 in words is "fifty-five million, ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1297 1416 1770 2124 2360 2594 2655 2832 3540 3891 4248 4720 5188 5310 6485 7080 7782 8496 10376 10620 11673 12970 14160 15564 19455 20752 21240 23346 25940 31128 38910 42480 46692 51880 58365 62256 76523 77820 93384 103760 116730 153046 155640 186768 229569 233460 306092 311280 382615 459138 466920 612184 688707 765230 918276 933840 1147845 1224368 1377414 1530460 1836552 2295690 2754828 3060920 3443535 3673104 4591380 5509656 6121840 6887070 9182760 11019312 13774140 18365520 27548280 55096560