Search a number
-
+
1429020 = 2232517467
BaseRepresentation
bin101011100111000011100
32200121020200
411130320130
5331212040
650343500
715101145
oct5347034
92617220
101429020
1189670a
1258ab90
133b0598
14292acc
151d3630
hex15ce1c

1429020 has 72 divisors (see below), whose sum is σ = 4599504. Its totient is φ = 357888.

The previous prime is 1428997. The next prime is 1429027. The reversal of 1429020 is 209241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1428984 and 1429002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (63882).

21429020 is an apocalyptic number.

1429020 is a gapful number since it is divisible by the number (10) 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 1429020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299752).

1429020 is an abundant number, since it is smaller than the sum of its proper divisors (3170484).

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

1429020 is a wasteful number, since it uses less digits than its factorization.

1429020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1429020 is about 1195.4162454978. The cubic root of 1429020 is about 112.6365748719.

The spelling of 1429020 in words is "one million, four hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 467 510 612 765 934 1020 1401 1530 1868 2335 2802 3060 4203 4670 5604 7005 7939 8406 9340 14010 15878 16812 21015 23817 28020 31756 39695 42030 47634 71451 79390 84060 95268 119085 142902 158780 238170 285804 357255 476340 714510 1429020