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120304404 = 223211461659
BaseRepresentation
bin1110010101110…
…11001100010100
322101101002121200
413022323030110
5221244220104
615534312500
72660366463
oct712731424
9271332550
10120304404
11619aa530
1234358730
131bc0264c
1411d989da
15a865b39
hex72bb314

120304404 has 72 divisors (see below), whose sum is σ = 332972640. Its totient is φ = 36321600.

The previous prime is 120304391. The next prime is 120304423. The reversal of 120304404 is 404403021.

It is a super-5 number, since 5×1203044045 (a number of 42 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182227 + ... + 182885.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2120304404 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 120304404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166486320).

120304404 is an abundant number, since it is smaller than the sum of its proper divisors (212668236).

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

120304404 is a wasteful number, since it uses less digits than its factorization.

120304404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120304404 is about 10968.3364281007. The cubic root of 120304404 is about 493.6591320469.

Adding to 120304404 its reverse (404403021), we get a palindrome (524707425).

The spelling of 120304404 in words is "one hundred twenty million, three hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 461 659 922 1318 1383 1844 1977 2636 2766 3954 4149 5071 5532 5931 7249 7908 8298 10142 11862 14498 15213 16596 20284 21747 23724 28996 30426 43494 45639 60852 65241 86988 91278 130482 182556 260964 303799 607598 911397 1215196 1822794 2734191 3341789 3645588 5468382 6683578 10025367 10936764 13367156 20050734 30076101 40101468 60152202 120304404