Search a number
-
+
2113560 = 2333519103
BaseRepresentation
bin1000000100000000011000
310222101021000
420010000120
51020113220
6113145000
723651661
oct10040030
93871230
102113560
111213a49
1285b160
13590037
143d0368
152bb390
hex204018

2113560 has 128 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 528768.

The previous prime is 2113523. The next prime is 2113567. The reversal of 2113560 is 653112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20469 + ... + 20571.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

22113560 is an apocalyptic number.

2113560 is a gapful number since it is divisible by the number (20) 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 2113560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2113560 is an abundant number, since it is smaller than the sum of its proper divisors (5374440).

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

2113560 is a wasteful number, since it uses less digits than its factorization.

2113560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2113560 is about 1453.8087907287. The cubic root of 2113560 is about 128.3329547786.

Adding to 2113560 its reverse (653112), we get a palindrome (2766672).

The spelling of 2113560 in words is "two million, one hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 103 108 114 120 135 152 171 180 190 206 216 228 270 285 309 342 360 380 412 456 513 515 540 570 618 684 760 824 855 927 1026 1030 1080 1140 1236 1368 1545 1710 1854 1957 2052 2060 2280 2472 2565 2781 3090 3420 3708 3914 4104 4120 4635 5130 5562 5871 6180 6840 7416 7828 9270 9785 10260 11124 11742 12360 13905 15656 17613 18540 19570 20520 22248 23484 27810 29355 35226 37080 39140 46968 52839 55620 58710 70452 78280 88065 105678 111240 117420 140904 176130 211356 234840 264195 352260 422712 528390 704520 1056780 2113560