Search a number
-
+
3142620 = 22325131779
BaseRepresentation
bin1011111111001111011100
312220122212100
423333033130
51301030440
6151205100
735466105
oct13771734
95818770
103142620
111857108
121076790
13860550
145bb3ac
15421230
hex2ff3dc

3142620 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 718848.

The previous prime is 3142613. The next prime is 3142627. The reversal of 3142620 is 262413.

It is a happy number.

3142620 is a `hidden beast` number, since 3 + 1 + 42 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (3142613) and next prime (3142627).

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 = 3142593 and 3142602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39741 + ... + 39819.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

Almost surely, 23142620 is an apocalyptic number.

3142620 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 3142620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3142620 is an abundant number, since it is smaller than the sum of its proper divisors (7864740).

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

3142620 is a wasteful number, since it uses less digits than its factorization.

3142620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3142620 is about 1772.7436362881. The cubic root of 3142620 is about 146.4751517766.

The spelling of 3142620 in words is "three million, one hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 79 85 90 102 117 130 153 156 158 170 180 195 204 221 234 237 255 260 306 316 340 390 395 442 468 474 510 585 612 663 711 765 780 790 884 948 1020 1027 1105 1170 1185 1326 1343 1422 1530 1580 1989 2054 2210 2340 2370 2652 2686 2844 3060 3081 3315 3555 3978 4029 4108 4420 4740 5135 5372 6162 6630 6715 7110 7956 8058 9243 9945 10270 12087 12324 13260 13430 14220 15405 16116 17459 18486 19890 20145 20540 24174 26860 30810 34918 36972 39780 40290 46215 48348 52377 60435 61620 69836 80580 87295 92430 104754 120870 157131 174590 184860 209508 241740 261885 314262 349180 523770 628524 785655 1047540 1571310 3142620