Search a number
-
+
560220752 = 247132316729
BaseRepresentation
bin100001011001000…
…100101001010000
31110001011011101202
4201121010221100
52121404031002
6131331250332
716611540440
oct4131045120
91401134352
10560220752
11268259163
121377499a8
138c0ab690
1454590120
15342b1502
hex21644a50

560220752 has 80 divisors (see below), whose sum is σ = 1394077440. Its totient is φ = 211977216.

The previous prime is 560220751. The next prime is 560220769. The reversal of 560220752 is 257022065.

It is a super-3 number, since 3×5602207523 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560220751) 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, 25124 + ... + 41852.

It is an arithmetic number, because the mean of its divisors is an integer number (17425968).

Almost surely, 2560220752 is an apocalyptic number.

560220752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560220752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697038720).

560220752 is an abundant number, since it is smaller than the sum of its proper divisors (833856688).

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

560220752 is a wasteful number, since it uses less digits than its factorization.

560220752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16780 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 560220752 is about 23668.9829101295. The cubic root of 560220752 is about 824.3653531109.

The spelling of 560220752 in words is "five hundred sixty million, two hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 8372 16729 16744 33458 33488 66916 117103 133832 217477 234206 267664 384767 434954 468412 769534 869908 936824 1522339 1539068 1739816 1873648 2693369 3044678 3078136 3479632 5001971 5386738 6089356 6156272 10003942 10773476 12178712 20007884 21546952 24357424 35013797 40015768 43093904 70027594 80031536 140055188 280110376 560220752