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10404120 = 2335277313
BaseRepresentation
bin100111101100…
…000100011000
3201120120202210
4213230010120
510130412440
61010555120
7154301466
oct47540430
921516683
1010404120
115966851
123598aa0
1322037ac
14154b836
15da7a80
hex9ec118

10404120 has 64 divisors (see below), whose sum is σ = 31425120. Its totient is φ = 2755584.

The previous prime is 10404109. The next prime is 10404143. The reversal of 10404120 is 2140401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10404096 and 10404105.

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, 33084 + ... + 33396.

Almost surely, 210404120 is an apocalyptic number.

10404120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712560).

10404120 is an abundant number, since it is smaller than the sum of its proper divisors (21021000).

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

10404120 is a wasteful number, since it uses less digits than its factorization.

10404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10404120 is about 3225.5418149514. The cubic root of 10404120 is about 218.3073967727.

Adding to 10404120 its reverse (2140401), we get a palindrome (12544521).

The spelling of 10404120 in words is "ten million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 313 554 626 831 939 1108 1252 1385 1565 1662 1878 2216 2504 2770 3130 3324 3756 4155 4695 5540 6260 6648 7512 8310 9390 11080 12520 16620 18780 33240 37560 86701 173402 260103 346804 433505 520206 693608 867010 1040412 1300515 1734020 2080824 2601030 3468040 5202060 10404120