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17020080 = 24325711307
BaseRepresentation
bin100000011101…
…1010010110000
31012000201011100
41000323102300
513324120310
61404444400
7264445140
oct100732260
935021140
1017020080
119675490
125849700
1336abc6c
142390920
151762ec0
hex103b4b0

17020080 has 240 divisors, whose sum is σ = 71495424. Its totient is φ = 3525120.

The previous prime is 17020079. The next prime is 17020099. The reversal of 17020080 is 8002071.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55287 + ... + 55593.

Almost surely, 217020080 is an apocalyptic number.

17020080 is a gapful number since it is divisible by the number (10) 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 17020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

17020080 is an abundant number, since it is smaller than the sum of its proper divisors (54475344).

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

17020080 is a wasteful number, since it uses less digits than its factorization.

17020080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 17020080 is about 4125.5399646592. The cubic root of 17020080 is about 257.2293571425.

Subtracting from 17020080 its reverse (8002071), we obtain a square (9018009 = 30032).

The spelling of 17020080 in words is "seventeen million, twenty thousand, eighty".