Search a number
-
+
3114020 = 2257132959
BaseRepresentation
bin1011111000010000100100
312212012122002
423320100210
51244122040
6150424432
735316530
oct13702044
95765562
103114020
111837678
121062118
13850520
145b0bc0
15417a15
hex2f8424

3114020 has 96 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 935424.

The previous prime is 3114019. The next prime is 3114029. The reversal of 3114020 is 204113.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3113992 and 3114010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114029) 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, 52751 + ... + 52809.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

Almost surely, 23114020 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 3114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3114020 is an abundant number, since it is smaller than the sum of its proper divisors (5353180).

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

3114020 is a wasteful number, since it uses less digits than its factorization.

3114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3114020 is about 1764.6586072099. The cubic root of 3114020 is about 146.0294554944.

Adding to 3114020 its reverse (204113), we get a palindrome (3318133).

The spelling of 3114020 in words is "three million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 59 65 70 91 116 118 130 140 145 182 203 236 260 290 295 364 377 406 413 455 580 590 754 767 812 826 910 1015 1180 1508 1534 1652 1711 1820 1885 2030 2065 2639 3068 3422 3770 3835 4060 4130 5278 5369 6844 7540 7670 8260 8555 10556 10738 11977 13195 15340 17110 21476 22243 23954 26390 26845 34220 44486 47908 52780 53690 59885 88972 107380 111215 119770 155701 222430 239540 311402 444860 622804 778505 1557010 3114020