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20703540 = 2235111319127
BaseRepresentation
bin100111011111…
…0100100110100
31102221211220210
41032332210310
520300003130
62015425420
7340656114
oct116764464
942854823
1020703540
1110760970
126b25270
13439b720
142a6d044
151c3e5b0
hex13be934

20703540 has 192 divisors, whose sum is σ = 72253440. Its totient is φ = 4354560.

The previous prime is 20703539. The next prime is 20703541. The reversal of 20703540 is 4530702.

20703540 = T31 + T32 + ... + T498.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20703539) and next prime (20703541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20703541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162957 + ... + 163083.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 220703540 is an apocalyptic number.

20703540 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 20703540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36126720).

20703540 is an abundant number, since it is smaller than the sum of its proper divisors (51549900).

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

20703540 is a wasteful number, since it uses less digits than its factorization.

20703540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20703540 is about 4550.1142842790. The cubic root of 20703540 is about 274.5879890853.

The spelling of 20703540 in words is "twenty million, seven hundred three thousand, five hundred forty".