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16429000 = 235372347
BaseRepresentation
bin111110101010…
…111111001000
31010220200100111
4332222333020
513201212000
61344044104
7256433650
oct76527710
933820314
1016429000
119301395
125603634
133532c03
142279360
151697cba
hexfaafc8

16429000 has 64 divisors (see below), whose sum is σ = 43954560. Its totient is φ = 5630400.

The previous prime is 16428989. The next prime is 16429001. The reversal of 16429000 is 92461.

It is not an unprimeable number, because it can be changed into a prime (16429001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5827 + ... + 8173.

It is an arithmetic number, because the mean of its divisors is an integer number (686790).

Almost surely, 216429000 is an apocalyptic number.

16429000 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 16429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977280).

16429000 is an abundant number, since it is smaller than the sum of its proper divisors (27525560).

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

16429000 is a wasteful number, since it uses less digits than its factorization.

16429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 16429000 is about 4053.2702845974. The cubic root of 16429000 is about 254.2164852031.

The spelling of 16429000 in words is "sixteen million, four hundred twenty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2347 3500 4694 7000 9388 11735 16429 18776 23470 32858 46940 58675 65716 82145 93880 117350 131432 164290 234700 293375 328580 410725 469400 586750 657160 821450 1173500 1642900 2053625 2347000 3285800 4107250 8214500 16429000