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2029014 = 2321322329
BaseRepresentation
bin111101111010111010110
310211002021200
413233113112
51004412024
6111253330
723150331
oct7572726
93732250
102029014
111166479
1281a246
13560700
143ab618
152a12c9
hex1ef5d6

2029014 has 72 divisors (see below), whose sum is σ = 5138640. Its totient is φ = 576576.

The previous prime is 2029007. The next prime is 2029019. The reversal of 2029014 is 4109202.

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69952 + ... + 69980.

It is an arithmetic number, because the mean of its divisors is an integer number (71370).

22029014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569320).

2029014 is an abundant number, since it is smaller than the sum of its proper divisors (3109626).

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

2029014 is a wasteful number, since it uses less digits than its factorization.

2029014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

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

The square root of 2029014 is about 1424.4346246845. The cubic root of 2029014 is about 126.5984381709.

It can be divided in two parts, 202 and 9014, that added together give a square (9216 = 962).

The spelling of 2029014 in words is "two million, twenty-nine thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 29 39 46 58 69 78 87 117 138 169 174 207 234 261 299 338 377 414 507 522 598 667 754 897 1014 1131 1334 1521 1794 2001 2262 2691 3042 3393 3887 4002 4901 5382 6003 6786 7774 8671 9802 11661 12006 14703 17342 23322 26013 29406 34983 44109 52026 69966 78039 88218 112723 156078 225446 338169 676338 1014507 2029014