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1055204640 = 253257104683
BaseRepresentation
bin111110111001010…
…010010100100000
32201112112221122100
4332321102110200
54130113022030
6252412410400
735102043240
oct7671222440
92645487570
101055204640
114a16a9956
12255476a00
1313a7c8559
14a01dbb20
1562988360
hex3ee52520

1055204640 has 144 divisors (see below), whose sum is σ = 4115337408. Its totient is φ = 241187328.

The previous prime is 1055204609. The next prime is 1055204669. The reversal of 1055204640 is 464025501.

1055204640 is a `hidden beast` number, since 10 + 5 + 5 + 2 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10552046402 = 2226913664555059200, which contains 22 as substring.

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, 42262 + ... + 62421.

It is an arithmetic number, because the mean of its divisors is an integer number (28578732).

Almost surely, 21055204640 is an apocalyptic number.

1055204640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055204640 is an abundant number, since it is smaller than the sum of its proper divisors (3060132768).

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

1055204640 is a wasteful number, since it uses less digits than its factorization.

1055204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104711 (or 104700 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1055204640 is about 32483.9135573286. The cubic root of 1055204640 is about 1018.0729475043.

The spelling of 1055204640 in words is "one billion, fifty-five million, two hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 104683 209366 314049 418732 523415 628098 732781 837464 942147 1046830 1256196 1465562 1570245 1674928 1884294 2093660 2198343 2512392 2931124 3140490 3349856 3663905 3768588 4187320 4396686 4710735 5024784 5862248 6280980 6595029 7327810 7537176 8374640 8793372 9421470 10049568 10991715 11724496 12561960 13190058 14655620 15074352 16749280 17586744 18842940 21983430 23448992 25123920 26380116 29311240 30148704 32975145 35173488 37685880 43966860 50247840 52760232 58622480 65950290 70346976 75371760 87933720 105520464 117244960 131900580 150743520 175867440 211040928 263801160 351734880 527602320 1055204640