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1064040000 = 263548867
BaseRepresentation
bin111111011010111…
…111011001000000
32202011011211110220
4333122333121000
54134343240000
6253330023040
735240122302
oct7732773100
92664154426
101064040000
114a6694001
12258417a80
1313c59cc8a
14a145b972
15636311a0
hex3f6bf640

1064040000 has 140 divisors (see below), whose sum is σ = 3518361264. Its totient is φ = 283712000.

The previous prime is 1064039987. The next prime is 1064040011. The reversal of 1064040000 is 404601.

It is a super-2 number, since 2×10640400002 = 2264362243200000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115567 + ... + 124433.

Almost surely, 21064040000 is an apocalyptic number.

1064040000 is a gapful number since it is divisible by the number (10) 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 1064040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759180632).

1064040000 is an abundant number, since it is smaller than the sum of its proper divisors (2454321264).

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

1064040000 is an frugal number, since it uses more digits than its factorization.

1064040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1064040000 is about 32619.6259941772. The cubic root of 1064040000 is about 1020.9065373947.

Adding to 1064040000 its reverse (404601), we get a palindrome (1064444601).

The spelling of 1064040000 in words is "one billion, sixty-four million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 8867 10000 12000 15000 17734 20000 24000 26601 30000 35468 40000 44335 53202 60000 70936 88670 106404 120000 133005 141872 177340 212808 221675 266010 283744 354680 425616 443350 532020 567488 665025 709360 851232 886700 1064040 1108375 1330050 1418720 1702464 1773400 2128080 2216750 2660100 2837440 3325125 3546800 4256160 4433500 5320200 5541875 6650250 7093600 8512320 8867000 10640400 11083750 13300500 14187200 16625625 17734000 21280800 22167500 26601000 33251250 35468000 42561600 44335000 53202000 66502500 70936000 88670000 106404000 133005000 177340000 212808000 266010000 354680000 532020000 1064040000