Search a number
-
+
2120360 = 235116179
BaseRepresentation
bin1000000101101010101000
310222201120212
420011222220
51020322420
6113240252
724010544
oct10055250
93881525
102120360
111219070
12863088
13593168
143d2a24
152bd3c5
hex205aa8

2120360 has 64 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 748800.

The previous prime is 2120353. The next prime is 2120383. The reversal of 2120360 is 630212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26801 + ... + 26879.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

22120360 is an apocalyptic number.

2120360 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 2120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2120360 is an abundant number, since it is smaller than the sum of its proper divisors (3236440).

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

2120360 is a wasteful number, since it uses less digits than its factorization.

2120360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2120360 is about 1456.1455971159. The cubic root of 2120360 is about 128.4704368596.

Adding to 2120360 its reverse (630212), we get a palindrome (2750572).

The spelling of 2120360 in words is "two million, one hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 79 88 110 122 158 220 244 305 316 395 440 488 610 632 671 790 869 1220 1342 1580 1738 2440 2684 3160 3355 3476 4345 4819 5368 6710 6952 8690 9638 13420 17380 19276 24095 26840 34760 38552 48190 53009 96380 106018 192760 212036 265045 424072 530090 1060180 2120360