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40019680 = 255250123
BaseRepresentation
bin1001100010101…
…0011011100000
32210022012200101
42120222123200
540221112210
63545432144
7664106311
oct230523340
983265611
1040019680
1120654418
121149b654
1383a27ac
14545a608
1537a7a3a
hex262a6e0

40019680 has 24 divisors (see below), whose sum is σ = 94546872. Its totient is φ = 16007808.

The previous prime is 40019671. The next prime is 40019687. The reversal of 40019680 is 8691004.

It is a super-3 number, since 3×400196803 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019687) 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 3 ways as a sum of consecutive naturals, for example, 124902 + ... + 125221.

It is an arithmetic number, because the mean of its divisors is an integer number (3939453).

Almost surely, 240019680 is an apocalyptic number.

40019680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40019680 is an abundant number, since it is smaller than the sum of its proper divisors (54527192).

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

40019680 is a wasteful number, since it uses less digits than its factorization.

40019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250138 (or 250130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 40019680 is about 6326.1109696242. The cubic root of 40019680 is about 342.0512673506.

The spelling of 40019680 in words is "forty million, nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 250123 500246 1000492 1250615 2000984 2501230 4001968 5002460 8003936 10004920 20009840 40019680