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16429104 = 2432271421
BaseRepresentation
bin111110101011…
…000000110000
31010220200111100
4332223000300
513201212404
61344044400
7256434156
oct76530060
933820440
1016429104
11930147a
125603700
133532c83
1422793d6
151697d39
hexfab030

16429104 has 60 divisors (see below), whose sum is σ = 46257952. Its totient is φ = 5443200.

The previous prime is 16429043. The next prime is 16429111. The reversal of 16429104 is 40192461.

16429104 is a `hidden beast` number, since 1 + 642 + 9 + 10 + 4 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38814 + ... + 39234.

Almost surely, 216429104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16429104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128976).

16429104 is an abundant number, since it is smaller than the sum of its proper divisors (29828848).

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

16429104 is a wasteful number, since it uses less digits than its factorization.

16429104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16429104 is about 4053.2831137240. The cubic root of 16429104 is about 254.2170216216.

The spelling of 16429104 in words is "sixteen million, four hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 421 542 813 842 1084 1263 1626 1684 2168 2439 2526 3252 3368 3789 4336 4878 5052 6504 6736 7578 9756 10104 13008 15156 19512 20208 30312 39024 60624 114091 228182 342273 456364 684546 912728 1026819 1369092 1825456 2053638 2738184 4107276 5476368 8214552 16429104