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201417390 = 232515114821
BaseRepresentation
bin11000000000101…
…10001010101110
3112001000001201100
430000112022232
5403030324030
631553023530
74664006466
oct1400261256
9461001640
10201417390
11a3770959
1257554ba6
13329624b5
141ca70ba6
1512a39360
hexc0162ae

201417390 has 48 divisors (see below), whose sum is σ = 527188896. Its totient is φ = 53352000.

The previous prime is 201417361. The next prime is 201417401. The reversal of 201417390 is 93714102.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6180 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (10983102).

Almost surely, 2201417390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201417390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263594448).

201417390 is an abundant number, since it is smaller than the sum of its proper divisors (325771506).

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

201417390 is a wasteful number, since it uses less digits than its factorization.

201417390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14982 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 201417390 is about 14192.1594551358. The cubic root of 201417390 is about 586.1817880790.

The spelling of 201417390 in words is "two hundred one million, four hundred seventeen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 6795 13590 14821 29642 44463 74105 88926 133389 148210 222315 266778 444630 666945 1333890 2237971 4475942 6713913 11189855 13427826 20141739 22379710 33569565 40283478 67139130 100708695 201417390