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2442045120 = 26352543797
BaseRepresentation
bin1001000110001110…
…1010011011000000
320022012010202010120
42101203222123000
520000130420440
61042153300240
7114342020034
oct22143523300
96265122116
102442045120
11104351a709
12581a04680
132cbc1a318
141924861c4
15e45cddd0
hex918ea6c0

2442045120 has 56 divisors (see below), whose sum is σ = 7753496304. Its totient is φ = 651211776.

The previous prime is 2442045113. The next prime is 2442045143. The reversal of 2442045120 is 215402442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1270939 + ... + 1272858.

Almost surely, 22442045120 is an apocalyptic number.

2442045120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442045120 is an abundant number, since it is smaller than the sum of its proper divisors (5311451184).

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

2442045120 is a wasteful number, since it uses less digits than its factorization.

2442045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543817 (or 2543807 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2442045120 is about 49417.0529271020. The cubic root of 2442045120 is about 1346.6391241412.

Adding to 2442045120 its reverse (215402442), we get a palindrome (2657447562).

The spelling of 2442045120 in words is "two billion, four hundred forty-two million, forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2543797 5087594 7631391 10175188 12718985 15262782 20350376 25437970 30525564 38156955 40700752 50875940 61051128 76313910 81401504 101751880 122102256 152627820 162803008 203503760 244204512 305255640 407007520 488409024 610511280 814015040 1221022560 2442045120