Search a number
-
+
1064396880 = 243255327893
BaseRepresentation
bin111111011100010…
…110100001010000
32202011211222000200
4333130112201100
54134441200010
6253341415200
735243136621
oct7734264120
92664758020
101064396880
114a6908148
1225856a500
1313c696551
14a1511a48
15636a1cc0
hex3f716850

1064396880 has 120 divisors (see below), whose sum is σ = 3642175368. Its totient is φ = 278473728.

The previous prime is 1064396863. The next prime is 1064396939. The reversal of 1064396880 is 886934601.

1064396880 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 565678656 + 498718224 = 23784^2 + 22332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10643968802 = 2265881436307468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24214 + ... + 52106.

Almost surely, 21064396880 is an apocalyptic number.

1064396880 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 1064396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821087684).

1064396880 is an abundant number, since it is smaller than the sum of its proper divisors (2577778488).

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

1064396880 is a wasteful number, since it uses less digits than its factorization.

1064396880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27965 (or 27956 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1064396880 is about 32625.0958619281. The cubic root of 1064396880 is about 1021.0206623020.

The spelling of 1064396880 in words is "one billion, sixty-four million, three hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 27893 38160 55786 83679 111572 139465 167358 223144 251037 278930 334716 418395 446288 502074 557860 669432 836790 1004148 1115720 1255185 1338864 1478329 1673580 2008296 2231440 2510370 2956658 3347160 4016592 4434987 5020740 5913316 6694320 7391645 8869974 10041480 11826632 13304961 14783290 17739948 20082960 22174935 23653264 26609922 29566580 35479896 44349870 53219844 59133160 66524805 70959792 88699740 106439688 118266320 133049610 177399480 212879376 266099220 354798960 532198440 1064396880