Search a number
-
+
9028740 = 2235723783
BaseRepresentation
bin100010011100…
…010010000100
3121222201002210
4202130102010
54302404430
6521303420
7136512600
oct42342204
917881083
109028740
115107476
123034b70
131b41766
1412b0500
15bd52b0
hex89c484

9028740 has 144 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 1983744.

The previous prime is 9028699. The next prime is 9028741. The reversal of 9028740 is 478209.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9028698 and 9028707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9028741) 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, 108739 + ... + 108821.

It is an arithmetic number, because the mean of its divisors is an integer number (212268).

Almost surely, 29028740 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 9028740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

9028740 is an abundant number, since it is smaller than the sum of its proper divisors (21537852).

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

9028740 is a wasteful number, since it uses less digits than its factorization.

9028740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9028740 is about 3004.7861820769. The cubic root of 9028740 is about 208.2295604071.

The spelling of 9028740 in words is "nine million, twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 83 84 98 105 111 140 147 148 166 185 196 210 222 245 249 259 294 332 370 415 420 444 490 498 518 555 581 588 735 740 777 830 980 996 1036 1110 1162 1245 1295 1470 1554 1660 1743 1813 2220 2324 2490 2590 2905 2940 3071 3108 3486 3626 3885 4067 4980 5180 5439 5810 6142 6972 7252 7770 8134 8715 9065 9213 10878 11620 12201 12284 15355 15540 16268 17430 18130 18426 20335 21497 21756 24402 27195 30710 34860 36260 36852 40670 42994 46065 48804 54390 61005 61420 64491 81340 85988 92130 107485 108780 122010 128982 150479 184260 214970 244020 257964 300958 322455 429940 451437 601916 644910 752395 902874 1289820 1504790 1805748 2257185 3009580 4514370 9028740