Search a number
-
+
3121740 = 223454147
BaseRepresentation
bin1011111010001001001100
312212121020000
423322021030
51244343430
6150524300
735351166
oct13721114
95777200
103121740
111842456
121066690
13853bab
145b3936
15419e60
hex2fa24c

3121740 has 120 divisors (see below), whose sum is σ = 10245312. Its totient is φ = 794880.

The previous prime is 3121739. The next prime is 3121747. The reversal of 3121740 is 471213.

3121740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3121747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66397 + ... + 66443.

Almost surely, 23121740 is an apocalyptic number.

3121740 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 3121740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122656).

3121740 is an abundant number, since it is smaller than the sum of its proper divisors (7123572).

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

3121740 is a wasteful number, since it uses less digits than its factorization.

3121740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

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

The square root of 3121740 is about 1766.8446451231. The cubic root of 3121740 is about 146.1500303003.

Adding to 3121740 its reverse (471213), we get a palindrome (3592953).

The spelling of 3121740 in words is "three million, one hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 47 54 60 81 82 90 94 108 123 135 141 162 164 180 188 205 235 246 270 282 324 369 405 410 423 470 492 540 564 615 705 738 810 820 846 940 1107 1230 1269 1410 1476 1620 1692 1845 1927 2115 2214 2460 2538 2820 3321 3690 3807 3854 4230 4428 5076 5535 5781 6345 6642 7380 7614 7708 8460 9635 11070 11562 12690 13284 15228 16605 17343 19035 19270 22140 23124 25380 28905 33210 34686 38070 38540 52029 57810 66420 69372 76140 86715 104058 115620 156087 173430 208116 260145 312174 346860 520290 624348 780435 1040580 1560870 3121740