Search a number
-
+
3117420 = 2233523251
BaseRepresentation
bin1011111001000101101100
312212101022000
423321011230
51244224140
6150452300
735332455
oct13710554
95771260
103117420
11183a189
121064090
13851c37
145b212c
15418a30
hex2f916c

3117420 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 792000.

The previous prime is 3117299. The next prime is 3117421. The reversal of 3117420 is 247113.

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 = 3117393 and 3117402.

It is not an unprimeable number, because it can be changed into a prime (3117421) 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, 12295 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23117420 is an apocalyptic number.

3117420 is a gapful number since it is divisible by the number (30) 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 3117420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3117420 is an abundant number, since it is smaller than the sum of its proper divisors (7043220).

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

3117420 is a wasteful number, since it uses less digits than its factorization.

3117420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3117420 is about 1765.6217035367. The cubic root of 3117420 is about 146.0825829159.

The spelling of 3117420 in words is "three million, one hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 251 270 276 345 414 460 502 540 621 690 753 828 1004 1035 1242 1255 1380 1506 2070 2259 2484 2510 3012 3105 3765 4140 4518 5020 5773 6210 6777 7530 9036 11295 11546 12420 13554 15060 17319 22590 23092 27108 28865 33885 34638 45180 51957 57730 67770 69276 86595 103914 115460 135540 155871 173190 207828 259785 311742 346380 519570 623484 779355 1039140 1558710 3117420