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42404120 = 23511175669
BaseRepresentation
bin1010000111000…
…0100100011000
32221210100111222
42201300210120
541323412440
64112511212
71023300113
oct241604430
987710458
1042404120
1121a32930
121224b508
138a28bc5
1458bb57a
153ac92b5
hex2870918

42404120 has 64 divisors (see below), whose sum is σ = 110224800. Its totient is φ = 14510080.

The previous prime is 42404113. The next prime is 42404147. The reversal of 42404120 is 2140424.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 4646 + ... + 10314.

Almost surely, 242404120 is an apocalyptic number.

42404120 is a gapful number since it is divisible by the number (40) 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 42404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55112400).

42404120 is an abundant number, since it is smaller than the sum of its proper divisors (67820680).

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

42404120 is a wasteful number, since it uses less digits than its factorization.

42404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42404120 is about 6511.8445927402. The cubic root of 42404120 is about 348.7139743451.

Adding to 42404120 its reverse (2140424), we get a palindrome (44544544).

It can be divided in two parts, 42404 and 120, that added together give a palindrome (42524).

The spelling of 42404120 in words is "forty-two million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5669 7480 11338 22676 28345 45352 56690 62359 96373 113380 124718 192746 226760 249436 311795 385492 481865 498872 623590 770984 963730 1060103 1247180 1927460 2120206 2494360 3854920 4240412 5300515 8480824 10601030 21202060 42404120