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16966240 = 255195581
BaseRepresentation
bin100000010111…
…0001001100000
31011220222022021
41000232021200
513320404430
61403351224
7264132154
oct100561140
934828267
1016966240
119638a95
125822514
1336905c5
142379064
15175207a
hex102e260

16966240 has 48 divisors (see below), whose sum is σ = 42199920. Its totient is φ = 6428160.

The previous prime is 16966237. The next prime is 16966253. The reversal of 16966240 is 4266961.

It is a junction number, because it is equal to n+sod(n) for n = 16966196 and 16966205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 5830.

It is an arithmetic number, because the mean of its divisors is an integer number (879165).

Almost surely, 216966240 is an apocalyptic number.

16966240 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 16966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099960).

16966240 is an abundant number, since it is smaller than the sum of its proper divisors (25233680).

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

16966240 is a wasteful number, since it uses less digits than its factorization.

16966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 16966240 is about 4119.0095896951. The cubic root of 16966240 is about 256.9578375120.

The spelling of 16966240 in words is "sixteen million, nine hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 5581 11162 22324 27905 44648 55810 89296 106039 111620 178592 212078 223240 424156 446480 530195 848312 892960 1060390 1696624 2120780 3393248 4241560 8483120 16966240