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2095297440 = 253531140813
BaseRepresentation
bin111110011100011…
…1011001110100000
312102000200010201220
41330320323032200
513242344004230
6543525255040
7102631506615
oct17470731640
95360603656
102095297440
11985816a85
124a5864480
13275132592
1415c3c450c
15c3e38d10
hex7ce3b3a0

2095297440 has 96 divisors (see below), whose sum is σ = 6813144576. Its totient is φ = 540718080.

The previous prime is 2095297439. The next prime is 2095297453. The reversal of 2095297440 is 447925902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2095297392 and 2095297401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55527 + ... + 85286.

It is an arithmetic number, because the mean of its divisors is an integer number (70970256).

Almost surely, 22095297440 is an apocalyptic number.

2095297440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2095297440 is an abundant number, since it is smaller than the sum of its proper divisors (4717847136).

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

2095297440 is a wasteful number, since it uses less digits than its factorization.

2095297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140862 (or 140854 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2095297440 is about 45774.4190569362. The cubic root of 2095297440 is about 1279.6225775257.

The spelling of 2095297440 in words is "two billion, ninety-five million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 140813 281626 422439 563252 704065 844878 1126504 1408130 1689756 2112195 2253008 2816260 3379512 4224390 4365203 4506016 5632520 6759024 8448780 8730406 11265040 13095609 13518048 16897560 17460812 21826015 22530080 26191218 33795120 34921624 43652030 52382436 65478045 67590240 69843248 87304060 104764872 130956090 139686496 174608120 209529744 261912180 349216240 419059488 523824360 698432480 1047648720 2095297440