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20787340 = 2257374013
BaseRepresentation
bin100111101001…
…1000010001100
31110010002212111
41033103002030
520310143330
62021313404
7341455330
oct117230214
943102774
1020787340
1110808922
126b65864
1343ca902
142a917c0
151c5932a
hex13d308c

20787340 has 48 divisors (see below), whose sum is σ = 51250752. Its totient is φ = 6932736.

The previous prime is 20787337. The next prime is 20787373. The reversal of 20787340 is 4378702.

It is a super-2 number, since 2×207873402 = 864227008551200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3174 + ... + 7186.

It is an arithmetic number, because the mean of its divisors is an integer number (1067724).

Almost surely, 220787340 is an apocalyptic number.

20787340 is a gapful number since it is divisible by the number (20) 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 20787340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625376).

20787340 is an abundant number, since it is smaller than the sum of its proper divisors (30463412).

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

20787340 is a wasteful number, since it uses less digits than its factorization.

20787340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 20787340 is about 4559.3135448223. The cubic root of 20787340 is about 274.9579660272.

The spelling of 20787340 in words is "twenty million, seven hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 4013 5180 8026 16052 20065 28091 40130 56182 80260 112364 140455 148481 280910 296962 561820 593924 742405 1039367 1484810 2078734 2969620 4157468 5196835 10393670 20787340