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3189420 = 22325132947
BaseRepresentation
bin1100001010101010101100
320000001001200
430022222230
51304030140
6152205500
736052413
oct14125254
96001050
103189420
111889293
121099890
13878940
145d047a
15430030
hex30aaac

3189420 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 741888.

The previous prime is 3189419. The next prime is 3189427. The reversal of 3189420 is 249813.

It is not an unprimeable number, because it can be changed into a prime (3189427) 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, 67837 + ... + 67883.

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

Almost surely, 23189420 is an apocalyptic number.

3189420 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 3189420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3189420 is an abundant number, since it is smaller than the sum of its proper divisors (7817940).

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

3189420 is a wasteful number, since it uses less digits than its factorization.

3189420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3189420 is about 1785.8947337399. The cubic root of 3189420 is about 147.1986762444.

The spelling of 3189420 in words is "three million, one hundred eighty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 47 52 58 60 65 78 87 90 94 116 117 130 141 145 156 174 180 188 195 234 235 260 261 282 290 348 377 390 423 435 468 470 522 564 580 585 611 705 754 780 846 870 940 1044 1131 1170 1222 1305 1363 1410 1508 1692 1740 1833 1885 2115 2262 2340 2444 2610 2726 2820 3055 3393 3666 3770 4089 4230 4524 5220 5452 5499 5655 6110 6786 6815 7332 7540 8178 8460 9165 10998 11310 12220 12267 13572 13630 16356 16965 17719 18330 20445 21996 22620 24534 27260 27495 33930 35438 36660 40890 49068 53157 54990 61335 67860 70876 81780 88595 106314 109980 122670 159471 177190 212628 245340 265785 318942 354380 531570 637884 797355 1063140 1594710 3189420