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409120092 = 223318120929
BaseRepresentation
bin11000011000101…
…010110101011100
31001111211110021000
4120120222311130
51314213320332
6104332510300
713065314643
oct3030526534
91044743230
10409120092
1119aa34a87
12b501b390
13669b57c4
143c49a35a
1525db5b7c
hex1862ad5c

409120092 has 48 divisors (see below), whose sum is σ = 1066592800. Its totient is φ = 135613440.

The previous prime is 409120043. The next prime is 409120111. The reversal of 409120092 is 290021904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9084 + ... + 30012.

Almost surely, 2409120092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409120092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533296400).

409120092 is an abundant number, since it is smaller than the sum of its proper divisors (657472708).

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

409120092 is a wasteful number, since it uses less digits than its factorization.

409120092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21123 (or 21115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 409120092 is about 20226.7172818527. The cubic root of 409120092 is about 742.3640563279.

Adding to 409120092 its reverse (290021904), we get a palindrome (699141996).

The spelling of 409120092 in words is "four hundred nine million, one hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6516 9774 19548 20929 41858 62787 83716 125574 188361 251148 376722 565083 753444 1130166 2260332 3788149 7576298 11364447 15152596 22728894 34093341 45457788 68186682 102280023 136373364 204560046 409120092