Search a number
-
+
55708560 = 243458597
BaseRepresentation
bin1101010010000…
…0101110010000
310212211021210000
43110200232100
5103230133220
65310010000
71244341425
oct324405620
9125737700
1055708560
112949a736
12167a6900
13b70685b
147581d4c
154d56390
hex3520b90

55708560 has 100 divisors (see below), whose sum is σ = 193506588. Its totient is φ = 14853888.

The previous prime is 55708547. The next prime is 55708573. The reversal of 55708560 is 6580755.

55708560 is a `hidden beast` number, since 5 + 570 + 85 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55708547) and next prime (55708573).

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 25765776 = 5472^2 + 5076^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2182 + ... + 10778.

Almost surely, 255708560 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 55708560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96753294).

55708560 is an abundant number, since it is smaller than the sum of its proper divisors (137798028).

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

55708560 is a wasteful number, since it uses less digits than its factorization.

55708560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55708560 is about 7463.8167180069. The cubic root of 55708560 is about 381.9213858310.

The spelling of 55708560 in words is "fifty-five million, seven hundred eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8597 17194 25791 34388 42985 51582 68776 77373 85970 103164 128955 137552 154746 171940 206328 232119 257910 309492 343880 386865 412656 464238 515820 618984 687760 696357 773730 928476 1031640 1160595 1237968 1392714 1547460 1856952 2063280 2321190 2785428 3094920 3481785 3713904 4642380 5570856 6189840 6963570 9284760 11141712 13927140 18569520 27854280 55708560