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1064740560 = 243513226251
BaseRepresentation
bin111111011101101…
…010011011010000
32202012111102110120
4333131222123100
54140033144220
6253353030240
735246100612
oct7735523320
92665442416
101064740560
114a7022384
122586b5380
1313c786b00
14a15a0db2
156371da40
hex3f76a6d0

1064740560 has 120 divisors (see below), whose sum is σ = 3574262304. Its totient is φ = 262080000.

The previous prime is 1064740529. The next prime is 1064740571. The reversal of 1064740560 is 650474601.

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

It is a super-2 number, since 2×10647405602 = 2267344920218227200, which contains 22 as substring.

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, 27435 + ... + 53685.

Almost surely, 21064740560 is an apocalyptic number.

1064740560 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 1064740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787131152).

1064740560 is an abundant number, since it is smaller than the sum of its proper divisors (2509521744).

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

1064740560 is a wasteful number, since it uses less digits than its factorization.

1064740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26293 (or 26274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1064740560 is about 32630.3625477867. The cubic root of 1064740560 is about 1021.1305419365.

The spelling of 1064740560 in words is "one billion, sixty-four million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 26251 40560 52502 78753 105004 131255 157506 210008 262510 315012 341263 393765 420016 525020 630024 682526 787530 1023789 1050040 1260048 1365052 1575060 1706315 2047578 2100080 2730104 3150120 3412630 4095156 4436419 5118945 5460208 6300240 6825260 8190312 8872838 10237890 13309257 13650520 16380624 17745676 20475780 22182095 26618514 27301040 35491352 40951560 44364190 53237028 66546285 70982704 81903120 88728380 106474056 133092570 177456760 212948112 266185140 354913520 532370280 1064740560