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641212960 = 25537891217
BaseRepresentation
bin100110001110000…
…010001000100000
31122200112222211011
4212032002020200
52303122303320
6143343230304
721614135353
oct4616021040
91580488734
10641212960
112a9a47873
1215a8a8394
13a2ac856b
146123429a
153b45e05a
hex26382220

641212960 has 96 divisors (see below), whose sum is σ = 1574581680. Its totient is φ = 246546432.

The previous prime is 641212937. The next prime is 641212961. The reversal of 641212960 is 69212146.

It can be written as a sum of positive squares in 8 ways, for example, as 261274896 + 379938064 = 16164^2 + 19492^2 .

It is a super-2 number, since 2×6412129602 = 822308120143923200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641212961) 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, 526272 + ... + 527488.

Almost surely, 2641212960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787290840).

641212960 is an abundant number, since it is smaller than the sum of its proper divisors (933368720).

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

641212960 is a wasteful number, since it uses less digits than its factorization.

641212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 641212960 is about 25322.1831602253. The cubic root of 641212960 is about 862.3179580797.

It can be divided in two parts, 64121 and 2960, that added together give a square (67081 = 2592).

The spelling of 641212960 in words is "six hundred forty-one million, two hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 89 148 160 178 185 296 356 370 445 592 712 740 890 1184 1217 1424 1480 1780 2434 2848 2960 3293 3560 4868 5920 6085 6586 7120 9736 12170 13172 14240 16465 19472 24340 26344 32930 38944 45029 48680 52688 65860 90058 97360 105376 108313 131720 180116 194720 216626 225145 263440 360232 433252 450290 526880 541565 720464 866504 900580 1083130 1440928 1733008 1801160 2166260 3466016 3602320 4007581 4332520 7204640 8015162 8665040 16030324 17330080 20037905 32060648 40075810 64121296 80151620 128242592 160303240 320606480 641212960