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1064553460 = 225295773181
BaseRepresentation
bin111111011100111…
…100101111110100
32202012010220210221
4333130330233310
54140011202320
6253345024124
735244361255
oct7734745764
92665126727
101064553460
114a6a04853
12258625044
1313c71c8b9
14a1552b2c
15636d33aa
hex3f73cbf4

1064553460 has 48 divisors (see below), whose sum is σ = 2317386960. Its totient is φ = 410296320.

The previous prime is 1064553443. The next prime is 1064553463. The reversal of 1064553460 is 643554601.

It can be written as a sum of positive squares in 8 ways, for example, as 1532644 + 1063020816 = 1238^2 + 32604^2 .

It is a super-2 number, since 2×10645534602 = 2266548138395943200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064553463) 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, 333070 + ... + 336250.

It is an arithmetic number, because the mean of its divisors is an integer number (48278895).

Almost surely, 21064553460 is an apocalyptic number.

1064553460 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 1064553460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158693480).

1064553460 is an abundant number, since it is smaller than the sum of its proper divisors (1252833500).

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

1064553460 is a wasteful number, since it uses less digits than its factorization.

1064553460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 1064553460 is about 32627.4954601177. The cubic root of 1064553460 is about 1021.0707262019.

The spelling of 1064553460 in words is "one billion, sixty-four million, five hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 577 580 1154 2308 2885 3181 5770 6362 11540 12724 15905 16733 31810 33466 63620 66932 83665 92249 167330 184498 334660 368996 461245 922490 1835437 1844980 3670874 7341748 9177185 18354370 36708740 53227673 106455346 212910692 266138365 532276730 1064553460