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17420040 = 23325115383
BaseRepresentation
bin100001001110…
…0111100001000
31012210000210200
41002130330020
513424420130
61421212200
7301032201
oct102347410
935700720
1017420040
119918a30
125a01060
1337bc021
1424565a8
1517e1760
hex109cf08

17420040 has 192 divisors, whose sum is σ = 63685440. Its totient is φ = 4093440.

The previous prime is 17420021. The next prime is 17420057. The reversal of 17420040 is 4002471.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 17419995 and 17420022.

It is a congruent number.

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, 209839 + ... + 209921.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 217420040 is an apocalyptic number.

17420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17420040 is the 2640-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

17420040 is an abundant number, since it is smaller than the sum of its proper divisors (46265400).

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

17420040 is a wasteful number, since it uses less digits than its factorization.

17420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 17420040 is about 4173.7321428189. The cubic root of 17420040 is about 259.2286805255.

Subtracting from 17420040 its reverse (4002471), we obtain a square (13417569 = 36632).

The spelling of 17420040 in words is "seventeen million, four hundred twenty thousand, forty".