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1010797450 = 252132375361
BaseRepresentation
bin111100001111111…
…000101110001010
32121102222211102121
4330033320232022
54032231004300
6244144521454
734022431225
oct7417705612
92542884377
101010797450
114796290a3
1224262028a
1313154aa00
149835c5bc
155db1581a
hex3c3f8b8a

1010797450 has 144 divisors (see below), whose sum is σ = 2165225256. Its totient is φ = 350438400.

The previous prime is 1010797433. The next prime is 1010797451. The reversal of 1010797450 is 547970101.

It can be written as a sum of positive squares in 36 ways, for example, as 605701321 + 405096129 = 24611^2 + 20127^2 .

It is a super-2 number, since 2×10107974502 = 2043422969853005000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010797451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16570420 + ... + 16570480.

Almost surely, 21010797450 is an apocalyptic number.

1010797450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010797450 is an abundant number, since it is smaller than the sum of its proper divisors (1154427806).

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

1010797450 is a wasteful number, since it uses less digits than its factorization.

1010797450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 1010797450 is about 31793.0409052044. The cubic root of 1010797450 is about 1003.5862732693.

The spelling of 1010797450 in words is "one billion, ten million, seven hundred ninety-seven thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 37 50 53 61 65 74 106 122 130 169 185 265 305 325 338 370 481 530 610 650 689 793 845 925 962 1325 1378 1525 1586 1690 1850 1961 2257 2405 2650 3050 3233 3445 3922 3965 4225 4514 4810 6253 6466 6890 7930 8450 8957 9805 10309 11285 12025 12506 16165 17225 17914 19610 19825 20618 22570 24050 25493 29341 31265 32330 34450 39650 42029 44785 49025 50986 51545 56425 58682 62530 80825 84058 89570 98050 103090 112850 119621 127465 146705 156325 161650 210145 223925 239242 254930 257725 293410 312650 331409 381433 420290 447850 515450 546377 598105 637325 662818 733525 762866 1050725 1092754 1196210 1274650 1467050 1555073 1657045 1907165 2101450 2731885 2990525 3110146 3314090 3814330 5463770 5981050 7775365 8285225 9535825 13659425 15550730 16570450 19071650 20215949 27318850 38876825 40431898 77753650 101079745 202159490 505398725 1010797450