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16429520 = 245415009
BaseRepresentation
bin111110101011…
…000111010000
31010220201001202
4332223013100
513201221040
61344050332
7256435322
oct76530720
933821052
1016429520
119301818
1256039a8
133533213
142279612
151698015
hexfab1d0

16429520 has 40 divisors (see below), whose sum is σ = 39138120. Its totient is φ = 6410240.

The previous prime is 16429519. The next prime is 16429559. The reversal of 16429520 is 2592461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 16418704 = 104^2 + 4052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (978453).

Almost surely, 216429520 is an apocalyptic number.

16429520 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 16429520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569060).

16429520 is an abundant number, since it is smaller than the sum of its proper divisors (22708600).

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

16429520 is a wasteful number, since it uses less digits than its factorization.

16429520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 16429520 is about 4053.3344298244. The cubic root of 16429520 is about 254.2191672729.

The spelling of 16429520 in words is "sixteen million, four hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 5009 10018 20036 25045 40072 50090 80144 100180 200360 205369 400720 410738 821476 1026845 1642952 2053690 3285904 4107380 8214760 16429520