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1064226480 = 243519419557
BaseRepresentation
bin111111011011101…
…100111010110000
32202011112022021120
4333123230322300
54134420221410
6253334022240
735241530052
oct7733547260
92664468246
101064226480
114a6801119
122584a7980
1313c636b15
14a14a98d2
156366b570
hex3f6eceb0

1064226480 has 160 divisors (see below), whose sum is σ = 3487276800. Its totient is φ = 267734016.

The previous prime is 1064226473. The next prime is 1064226487. The reversal of 1064226480 is 846224601.

It is an interprime number because it is at equal distance from previous prime (1064226473) and next prime (1064226487).

It is a super-2 number, since 2×10642264802 = 2265156001466380800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064226487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910362 + ... + 1910918.

It is an arithmetic number, because the mean of its divisors is an integer number (21795480).

Almost surely, 21064226480 is an apocalyptic number.

1064226480 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 1064226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743638400).

1064226480 is an abundant number, since it is smaller than the sum of its proper divisors (2423050320).

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

1064226480 is a wasteful number, since it uses less digits than its factorization.

1064226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1064226480 is about 32622.4842708216. The cubic root of 1064226480 is about 1020.9661741033.

The spelling of 1064226480 in words is "one billion, sixty-four million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 419 456 557 570 760 838 912 1114 1140 1257 1520 1671 1676 2095 2228 2280 2514 2785 3342 3352 4190 4456 4560 5028 5570 6285 6684 6704 7961 8355 8380 8912 10056 10583 11140 12570 13368 15922 16710 16760 20112 21166 22280 23883 25140 26736 31749 31844 33420 33520 39805 42332 44560 47766 50280 52915 63498 63688 66840 79610 84664 95532 100560 105830 119415 126996 127376 133680 158745 159220 169328 191064 211660 233383 238830 253992 317490 318440 382128 423320 466766 477660 507984 634980 636880 700149 846640 933532 955320 1166915 1269960 1400298 1867064 1910640 2333830 2539920 2800596 3500745 3734128 4434277 4667660 5601192 7001490 8868554 9335320 11202384 13302831 14002980 17737108 18670640 22171385 26605662 28005960 35474216 44342770 53211324 56011920 66514155 70948432 88685540 106422648 133028310 177371080 212845296 266056620 354742160 532113240 1064226480