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16487680 = 285111171
BaseRepresentation
bin111110111001…
…010100000000
31011000122211211
4332321110000
513210101210
61345215504
7260100016
oct76712400
934018754
1016487680
119341490
125631594
133553831
1422928b6
1516aa38a
hexfb9500

16487680 has 72 divisors (see below), whose sum is σ = 43120224. Its totient is φ = 5990400.

The previous prime is 16487677. The next prime is 16487683. The reversal of 16487680 is 8678461.

It is an interprime number because it is at equal distance from previous prime (16487677) and next prime (16487683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16487683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13495 + ... + 14665.

It is an arithmetic number, because the mean of its divisors is an integer number (598892).

Almost surely, 216487680 is an apocalyptic number.

16487680 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 16487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21560112).

16487680 is an abundant number, since it is smaller than the sum of its proper divisors (26632544).

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

16487680 is a wasteful number, since it uses less digits than its factorization.

16487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 16487680 is about 4060.5024319658. The cubic root of 16487680 is about 254.5187900331.

The spelling of 16487680 in words is "sixteen million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1171 1280 1408 1760 2342 2816 3520 4684 5855 7040 9368 11710 12881 14080 18736 23420 25762 37472 46840 51524 64405 74944 93680 103048 128810 149888 187360 206096 257620 299776 374720 412192 515240 749440 824384 1030480 1498880 1648768 2060960 3297536 4121920 8243840 16487680