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2064324000 = 25353172027
BaseRepresentation
bin111101100001011…
…0001010110100000
312022212101112011110
41323002301112200
513211431332000
6540501343320
7102104315214
oct17302612640
95285345143
102064324000
1196a2911a2
12497407b40
1326b8a94bb
14158240944
15c136b850
hex7b0b15a0

2064324000 has 96 divisors (see below), whose sum is σ = 6762764736. Its totient is φ = 550483200.

The previous prime is 2064323999. The next prime is 2064324001. The reversal of 2064324000 is 4234602.

It is an interprime number because it is at equal distance from previous prime (2064323999) and next prime (2064324001).

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

It is a super-2 number, since 2×20643240002 = 8522867153952000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064324001) 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, 74014 + ... + 98013.

It is an arithmetic number, because the mean of its divisors is an integer number (70445466).

Almost surely, 22064324000 is an apocalyptic number.

2064324000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064324000 is an abundant number, since it is smaller than the sum of its proper divisors (4698440736).

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

2064324000 is a wasteful number, since it uses less digits than its factorization.

2064324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172055 (or 172037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2064324000 is about 45434.8324526458. The cubic root of 2064324000 is about 1273.2859705405.

Adding to 2064324000 its reverse (4234602), we get a palindrome (2068558602).

The spelling of 2064324000 in words is "two billion, sixty-four million, three hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 172027 344054 516081 688108 860135 1032162 1376216 1720270 2064324 2580405 2752432 3440540 4128648 4300675 5160810 5504864 6881080 8257296 8601350 10321620 12902025 13762160 16514592 17202700 20643240 21503375 25804050 27524320 34405400 41286480 43006750 51608100 64510125 68810800 82572960 86013500 103216200 129020250 137621600 172027000 206432400 258040500 344054000 412864800 516081000 688108000 1032162000 2064324000