Search a number
-
+
5145560 = 2357172347
BaseRepresentation
bin10011101000001111011000
3100200102101022
4103220033120
52304124220
6302142012
761510430
oct23501730
910612338
105145560
1129a4a32
121881908
1310b2114
1497d2c0
156b9925
hex4e83d8

5145560 has 128 divisors (see below), whose sum is σ = 14929920. Its totient is φ = 1554432.

The previous prime is 5145529. The next prime is 5145589. The reversal of 5145560 is 655415.

5145560 = T1209 + T1210 + ... + T1215.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109457 + ... + 109503.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

Almost surely, 25145560 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 5145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464960).

5145560 is an abundant number, since it is smaller than the sum of its proper divisors (9784360).

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

5145560 is a wasteful number, since it uses less digits than its factorization.

5145560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 5145560 is about 2268.3826837639. The cubic root of 5145560 is about 172.6411083716.

It can be divided in two parts, 51455 and 60, that added together give a palindrome (51515).

The spelling of 5145560 in words is "five million, one hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 23 28 34 35 40 46 47 56 68 70 85 92 94 115 119 136 140 161 170 184 188 230 235 238 280 322 329 340 376 391 460 470 476 595 644 658 680 782 799 805 920 940 952 1081 1190 1288 1316 1564 1598 1610 1645 1880 1955 2162 2380 2632 2737 3128 3196 3220 3290 3910 3995 4324 4760 5405 5474 5593 6392 6440 6580 7567 7820 7990 8648 10810 10948 11186 13160 13685 15134 15640 15980 18377 21620 21896 22372 27370 27965 30268 31960 36754 37835 43240 44744 54740 55930 60536 73508 75670 91885 109480 111860 128639 147016 151340 183770 223720 257278 302680 367540 514556 643195 735080 1029112 1286390 2572780 5145560