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16045920 = 25325111013
BaseRepresentation
bin111101001101…
…011101100000
31010012012212100
4331031131200
513101432140
61331530400
7253250052
oct75153540
933165770
1016045920
11906a5a0
125459a00
13342a737
1421b98d2
15161e530
hexf4d760

16045920 has 144 divisors (see below), whose sum is σ = 59793552. Its totient is φ = 3886080.

The previous prime is 16045919. The next prime is 16045921. The reversal of 16045920 is 2954061.

16045920 is a `hidden beast` number, since 1 + 604 + 59 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16045919) and next prime (16045921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16045921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15334 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (415233).

Almost surely, 216045920 is an apocalyptic number.

16045920 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 16045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29896776).

16045920 is an abundant number, since it is smaller than the sum of its proper divisors (43747632).

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

16045920 is a wasteful number, since it uses less digits than its factorization.

16045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 16045920 is about 4005.7358874494. The cubic root of 16045920 is about 252.2250446214.

Adding to 16045920 its reverse (2954061), we get a palindrome (18999981).

The spelling of 16045920 in words is "sixteen million, forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1013 1056 1320 1440 1584 1760 1980 2026 2640 3039 3168 3960 4052 5065 5280 6078 7920 8104 9117 10130 11143 12156 15195 15840 16208 18234 20260 22286 24312 30390 32416 33429 36468 40520 44572 45585 48624 55715 60780 66858 72936 81040 89144 91170 97248 100287 111430 121560 133716 145872 162080 167145 178288 182340 200574 222860 243120 267432 291744 334290 356576 364680 401148 445720 486240 501435 534864 668580 729360 802296 891440 1002870 1069728 1337160 1458720 1604592 1782880 2005740 2674320 3209184 4011480 5348640 8022960 16045920