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4144770 = 234571743
BaseRepresentation
bin1111110011111010000010
321210120120000
433303322002
52030113040
6224500430
750141610
oct17637202
97716500
104144770
112381033
12147a716
13b21736
1479c6b0
1556d130
hex3f3e82

4144770 has 160 divisors (see below), whose sum is σ = 13799808. Its totient is φ = 870912.

The previous prime is 4144757. The next prime is 4144781. The reversal of 4144770 is 774414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96369 + ... + 96411.

Almost surely, 24144770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899904).

4144770 is an abundant number, since it is smaller than the sum of its proper divisors (9655038).

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

4144770 is a wasteful number, since it uses less digits than its factorization.

4144770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4144770 is about 2035.8708210493. The cubic root of 4144770 is about 160.6325222193.

It can be divided in two parts, 414 and 4770, that added together give a square (5184 = 722).

The spelling of 4144770 in words is "four million, one hundred forty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 43 45 51 54 63 70 81 85 86 90 102 105 119 126 129 135 153 162 170 189 210 215 238 255 258 270 301 306 315 357 378 387 405 430 459 510 567 595 602 630 645 714 731 765 774 810 903 918 945 1071 1134 1161 1190 1290 1377 1462 1505 1530 1785 1806 1890 1935 2142 2193 2295 2322 2709 2754 2835 3010 3213 3483 3570 3655 3870 4386 4515 4590 5117 5355 5418 5670 5805 6426 6579 6885 6966 7310 8127 9030 9639 10234 10710 10965 11610 13158 13545 13770 15351 16065 16254 17415 19278 19737 21930 24381 25585 27090 30702 32130 32895 34830 39474 40635 46053 48195 48762 51170 59211 65790 76755 81270 92106 96390 98685 118422 121905 138159 153510 197370 230265 243810 276318 296055 414477 460530 592110 690795 828954 1381590 2072385 4144770