Search a number
-
+
1642284 = 22327419
BaseRepresentation
bin110010000111100101100
310002102210100
412100330230
5410023114
655111100
716650000
oct6207454
93072710
101642284
11a21966
12672490
13456687
1430a700
15226909
hex190f2c

1642284 has 90 divisors (see below), whose sum is σ = 5097820. Its totient is φ = 444528.

The previous prime is 1642283. The next prime is 1642297. The reversal of 1642284 is 4822461.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1642283) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86427 + ... + 86445.

21642284 is an apocalyptic number.

1642284 is a gapful number since it is divisible by the number (14) 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 1642284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548910).

1642284 is an abundant number, since it is smaller than the sum of its proper divisors (3455536).

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

1642284 is a wasteful number, since it uses less digits than its factorization.

1642284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1642284 is about 1281.5162894010. The cubic root of 1642284 is about 117.9820905501.

The spelling of 1642284 in words is "one million, six hundred forty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 399 441 532 588 684 686 798 882 931 1029 1197 1372 1596 1764 1862 2058 2394 2401 2793 3087 3724 4116 4788 4802 5586 6174 6517 7203 8379 9604 11172 12348 13034 14406 16758 19551 21609 26068 28812 33516 39102 43218 45619 58653 78204 86436 91238 117306 136857 182476 234612 273714 410571 547428 821142 1642284