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120040404 = 2231119232081
BaseRepresentation
bin1110010011110…
…10101111010100
322100212200110220
413021322233110
5221212243104
615524514340
72655220011
oct711725724
9270780426
10120040404
116183a150
123424b9b0
131bb3c433
1411d2a708
15a8127d9
hex727abd4

120040404 has 96 divisors (see below), whose sum is σ = 335784960. Its totient is φ = 32947200.

The previous prime is 120040399. The next prime is 120040429. The reversal of 120040404 is 404040021.

120040404 is a modest number, since divided by 40404 gives 120 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56644 + ... + 58724.

It is an arithmetic number, because the mean of its divisors is an integer number (3497760).

Almost surely, 2120040404 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 120040404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167892480).

120040404 is an abundant number, since it is smaller than the sum of its proper divisors (215744556).

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

120040404 is a wasteful number, since it uses less digits than its factorization.

120040404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120040404 is about 10956.2951767466. The cubic root of 120040404 is about 493.2977668946.

Adding to 120040404 its reverse (404040021), we get a palindrome (524080425).

The spelling of 120040404 in words is "one hundred twenty million, forty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 23 33 38 44 46 57 66 69 76 92 114 132 138 209 228 253 276 418 437 506 627 759 836 874 1012 1254 1311 1518 1748 2081 2508 2622 3036 4162 4807 5244 6243 8324 9614 12486 14421 19228 22891 24972 28842 39539 45782 47863 57684 68673 79078 91564 95726 118617 137346 143589 158156 191452 237234 274692 287178 434929 474468 526493 574356 869858 909397 1052986 1304787 1579479 1739716 1818794 2105972 2609574 2728191 3158958 3637588 5219148 5456382 6317916 10003367 10912764 20006734 30010101 40013468 60020202 120040404