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19933040 = 2451931291
BaseRepresentation
bin100110000001…
…0011101110000
31101111200222202
41030002131300
520100324130
61551122332
7331266551
oct114023560
941450882
1019933040
1110284a96
1268133a8
13418baca
14290c328
151b3b145
hex1302770

19933040 has 40 divisors (see below), whose sum is σ = 46620528. Its totient is φ = 7925760.

The previous prime is 19933013. The next prime is 19933073. The reversal of 19933040 is 4033991.

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

It is a junction number, because it is equal to n+sod(n) for n = 19932994 and 19933012.

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, 14795 + ... + 16085.

Almost surely, 219933040 is an apocalyptic number.

19933040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19933040 is an abundant number, since it is smaller than the sum of its proper divisors (26687488).

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

19933040 is a wasteful number, since it uses less digits than its factorization.

19933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 19933040 is about 4464.6433228199. The cubic root of 19933040 is about 271.1384939545.

The spelling of 19933040 in words is "nineteen million, nine hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1291 1544 1930 2582 3088 3860 5164 6455 7720 10328 12910 15440 20656 25820 51640 103280 249163 498326 996652 1245815 1993304 2491630 3986608 4983260 9966520 19933040