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42014040 = 23352912073
BaseRepresentation
bin1010000001000…
…1010101011000
32221001112102120
42200101111120
541223422130
64100301240
71020053625
oct240212530
987045376
1042014040
1121796852
12120a1820
1389204a3
14581934c
153a4d910
hex2811558

42014040 has 64 divisors (see below), whose sum is σ = 130399200. Its totient is φ = 10816512.

The previous prime is 42014039. The next prime is 42014041. The reversal of 42014040 is 4041024.

It is an interprime number because it is at equal distance from previous prime (42014039) and next prime (42014041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2557 + ... + 9516.

Almost surely, 242014040 is an apocalyptic number.

42014040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014040 is an abundant number, since it is smaller than the sum of its proper divisors (88385160).

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

42014040 is a wasteful number, since it uses less digits than its factorization.

42014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12116 (or 12112 counting only the distinct ones).

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

The square root of 42014040 is about 6481.8238174144. The cubic root of 42014040 is about 347.6413930418.

Adding to 42014040 its reverse (4041024), we get a palindrome (46055064).

The spelling of 42014040 in words is "forty-two million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 12073 24146 36219 48292 60365 72438 96584 120730 144876 181095 241460 289752 350117 362190 482920 700234 724380 1050351 1400468 1448760 1750585 2100702 2800936 3501170 4201404 5251755 7002340 8402808 10503510 14004680 21007020 42014040