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40787040 = 2535761199
BaseRepresentation
bin1001101110010…
…1110001100000
32211202012022010
42123211301200
540420141130
64014112520
71003453440
oct233456140
984665263
1040787040
11210289a8
12117ab740
1385b0b58
1455ba120
1538aa0b0
hex26e5c60

40787040 has 192 divisors, whose sum is σ = 149990400. Its totient is φ = 9123840.

The previous prime is 40787017. The next prime is 40787069. The reversal of 40787040 is 4078704.

40787040 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40786989 and 40787007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204861 + ... + 205059.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 240787040 is an apocalyptic number.

40787040 is a gapful number since it is divisible by the number (40) 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 40787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

40787040 is an abundant number, since it is smaller than the sum of its proper divisors (109203360).

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

40787040 is a wasteful number, since it uses less digits than its factorization.

40787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 40787040 is about 6386.4732051423. The cubic root of 40787040 is about 344.2236692131.

The spelling of 40787040 in words is "forty million, seven hundred eighty-seven thousand, forty".