Search a number
-
+
56130720 = 2535337347
BaseRepresentation
bin1101011000011…
…1110010100000
310220121201212120
43112013302200
5103332140340
65323024240
71251050262
oct326076240
9126551776
1056130720
1129758928
121696b080
13b823a59
147651b32
154ddb4d0
hex3587ca0

56130720 has 96 divisors (see below), whose sum is σ = 177847488. Its totient is φ = 14880768.

The previous prime is 56130713. The next prime is 56130721. The reversal of 56130720 is 2703165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56130721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161587 + ... + 161933.

It is an arithmetic number, because the mean of its divisors is an integer number (1852578).

Almost surely, 256130720 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 56130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88923744).

56130720 is an abundant number, since it is smaller than the sum of its proper divisors (121716768).

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

56130720 is a wasteful number, since it uses less digits than its factorization.

56130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 56130720 is about 7492.0437799041. The cubic root of 56130720 is about 382.8836937532.

Adding to 56130720 its reverse (2703165), we get a palindrome (58833885).

The spelling of 56130720 in words is "fifty-six million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 337 347 480 674 694 1011 1041 1348 1388 1685 1735 2022 2082 2696 2776 3370 3470 4044 4164 5055 5205 5392 5552 6740 6940 8088 8328 10110 10410 10784 11104 13480 13880 16176 16656 20220 20820 26960 27760 32352 33312 40440 41640 53920 55520 80880 83280 116939 161760 166560 233878 350817 467756 584695 701634 935512 1169390 1403268 1754085 1871024 2338780 2806536 3508170 3742048 4677560 5613072 7016340 9355120 11226144 14032680 18710240 28065360 56130720