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16968240 = 2432523567
BaseRepresentation
bin100000010111…
…0101000110000
31011221002001100
41000232220300
513320440430
61403404400
7264141042
oct100565060
934832040
1016968240
11963a543
125823700
1336914a3
142379a92
151752960
hex102ea30

16968240 has 60 divisors (see below), whose sum is σ = 56987424. Its totient is φ = 4524672.

The previous prime is 16968239. The next prime is 16968247. The reversal of 16968240 is 4286961.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16968195 and 16968204.

It is not an unprimeable number, because it can be changed into a prime (16968247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11064 + ... + 12503.

Almost surely, 216968240 is an apocalyptic number.

16968240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16968240 is an abundant number, since it is smaller than the sum of its proper divisors (40019184).

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

16968240 is a wasteful number, since it uses less digits than its factorization.

16968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16968240 is about 4119.2523593487. The cubic root of 16968240 is about 256.9679339443.

It can be divided in two parts, 16 and 968240, that added together give a square (968256 = 9842).

The spelling of 16968240 in words is "sixteen million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 23567 47134 70701 94268 117835 141402 188536 212103 235670 282804 353505 377072 424206 471340 565608 707010 848412 942680 1060515 1131216 1414020 1696824 1885360 2121030 2828040 3393648 4242060 5656080 8484120 16968240