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1041352900 = 2252724612
BaseRepresentation
bin111110000100011…
…100100011000100
32200120111012121221
4332010130203010
54113041243100
6251155450124
734543232200
oct7604344304
92616435557
101041352900
114948a8935
122508b6944
13137988763
149c433b00
156164e01a
hex3e11c8c4

1041352900 has 81 divisors (see below), whose sum is σ = 2634386727. Its totient is φ = 356260800.

The previous prime is 1041352889. The next prime is 1041352919. The reversal of 1041352900 is 92531401.

The square root of 1041352900 is 32270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 106461124 + 934891776 = 10318^2 + 30576^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2258670 + ... + 2259130.

Almost surely, 21041352900 is an apocalyptic number.

1041352900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041352900 is the 32270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041352900

1041352900 is an abundant number, since it is smaller than the sum of its proper divisors (1593033827).

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

1041352900 is an equidigital number, since it uses as much as digits as its factorization.

1041352900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 1041352900 is about 1013.5985414547.

Multiplying 1041352900 by its sum of digits (25), we get a square (26033822500 = 1613502).

1041352900 divided by its sum of digits (25) gives a square (41654116 = 64542).

The spelling of 1041352900 in words is "one billion, forty-one million, three hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 461 490 700 922 980 1225 1844 2305 2450 3227 4610 4900 6454 9220 11525 12908 16135 22589 23050 32270 45178 46100 64540 80675 90356 112945 161350 212521 225890 322700 425042 451780 564725 850084 1062605 1129450 1487647 2125210 2258900 2975294 4250420 5313025 5950588 7438235 10413529 10626050 14876470 20827058 21252100 29752940 37191175 41654116 52067645 74382350 104135290 148764700 208270580 260338225 520676450 1041352900