Search a number
-
+
4678740 = 223251117139
BaseRepresentation
bin10001110110010001010100
322210201000200
4101312101110
52144204430
6244140500
754524433
oct21662124
98721020
104678740
112706230
121697730
13c7a7b1
1489b11a
15626460
hex476454

4678740 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1059840.

The previous prime is 4678727. The next prime is 4678741. The reversal of 4678740 is 478764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4678695 and 4678704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678741) 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, 33591 + ... + 33729.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 24678740 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 4678740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4678740 is an abundant number, since it is smaller than the sum of its proper divisors (11832300).

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

4678740 is a wasteful number, since it uses less digits than its factorization.

4678740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4678740 is about 2163.0395280716. The cubic root of 4678740 is about 167.2539194856.

The spelling of 4678740 in words is "four million, six hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 139 153 165 170 180 187 198 204 220 255 278 306 330 340 374 396 417 495 510 556 561 612 660 695 748 765 834 935 990 1020 1122 1251 1390 1529 1530 1668 1683 1870 1980 2085 2244 2363 2502 2780 2805 3058 3060 3366 3740 4170 4587 4726 5004 5610 6116 6255 6732 7089 7645 8340 8415 9174 9452 11220 11815 12510 13761 14178 15290 16830 18348 21267 22935 23630 25020 25993 27522 28356 30580 33660 35445 42534 45870 47260 51986 55044 68805 70890 77979 85068 91740 103972 106335 129965 137610 141780 155958 212670 233937 259930 275220 311916 389895 425340 467874 519860 779790 935748 1169685 1559580 2339370 4678740