Search a number
-
+
1429218 = 233719199
BaseRepresentation
bin101011100111011100010
32200121112000
411130323202
5331213333
650344430
715101550
oct5347342
92617460
101429218
1189687a
1258b116
133b06bb
14292bd0
151d3713
hex15cee2

1429218 has 64 divisors (see below), whose sum is σ = 3840000. Its totient is φ = 384912.

The previous prime is 1429201. The next prime is 1429231. The reversal of 1429218 is 8129241.

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

It is a junction number, because it is equal to n+sod(n) for n = 1429191 and 1429200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7083 + ... + 7281.

It is an arithmetic number, because the mean of its divisors is an integer number (60000).

21429218 is an apocalyptic number.

1429218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920000).

1429218 is an abundant number, since it is smaller than the sum of its proper divisors (2410782).

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

1429218 is a wasteful number, since it uses less digits than its factorization.

1429218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1429218 is about 1195.4990589708. The cubic root of 1429218 is about 112.6417768079.

The spelling of 1429218 in words is "one million, four hundred twenty-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 199 266 342 378 398 399 513 597 798 1026 1194 1197 1393 1791 2394 2786 3582 3591 3781 4179 5373 7182 7562 8358 10746 11343 12537 22686 25074 26467 34029 37611 52934 68058 75222 79401 102087 158802 204174 238203 476406 714609 1429218