Search a number
-
+
2193120 = 253251523
BaseRepresentation
bin1000010111011011100000
311010102101200
420113123200
51030134440
6115001200
724432636
oct10273340
94112350
102193120
1112687a6
12899200
135ba307
14411356
152d4c30
hex2176e0

2193120 has 72 divisors (see below), whose sum is σ = 7488936. Its totient is φ = 584448.

The previous prime is 2193097. The next prime is 2193127. The reversal of 2193120 is 213912.

2193120 = T79 + T80 + ... + T238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2193093 and 2193102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

22193120 is an apocalyptic number.

2193120 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 2193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744468).

2193120 is an abundant number, since it is smaller than the sum of its proper divisors (5295816).

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

2193120 is a wasteful number, since it uses less digits than its factorization.

2193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2193120 is about 1480.9186338216. The cubic root of 2193120 is about 129.9234263052.

The spelling of 2193120 in words is "two million, one hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1523 3046 4569 6092 7615 9138 12184 13707 15230 18276 22845 24368 27414 30460 36552 45690 48736 54828 60920 68535 73104 91380 109656 121840 137070 146208 182760 219312 243680 274140 365520 438624 548280 731040 1096560 2193120