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1069730025 = 352721322391
BaseRepresentation
bin111111110000101…
…100100011101001
32202112212220201120
4333300230203221
54142322330100
6254052005453
735336361300
oct7760544351
92675786646
101069730025
114a9920001
1225a300889
13140812b60
14a20dd437
1563da70a0
hex3fc2c8e9

1069730025 has 72 divisors (see below), whose sum is σ = 2215733184. Its totient is φ = 451382400.

The previous prime is 1069729993. The next prime is 1069730041. The reversal of 1069730025 is 5200379601.

It is not a de Polignac number, because 1069730025 - 25 = 1069729993 is a prime.

It is a super-2 number, since 2×10697300252 = 2288644652773001250, which contains 22 as substring.

It is an unprimeable number.

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, 36580 + ... + 58970.

It is an arithmetic number, because the mean of its divisors is an integer number (30774072).

Almost surely, 21069730025 is an apocalyptic number.

1069730025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1069730025 is an abundant number, since it is smaller than the sum of its proper divisors (1146003159).

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

1069730025 is a wasteful number, since it uses less digits than its factorization.

1069730025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22431 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1069730025 is about 32706.7275189677. The cubic root of 1069730025 is about 1022.7230918258.

The spelling of 1069730025 in words is "one billion, sixty-nine million, seven hundred thirty thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 975 1225 1365 1911 2275 3185 3675 6825 9555 15925 22391 47775 67173 111955 156737 291083 335865 470211 559775 783685 873249 1097159 1455415 1679325 2037581 2351055 3291477 3918425 4366245 5485795 6112743 7277075 10187905 11755275 14263067 16457385 21831225 27428975 30563715 42789201 50939525 71315335 82286925 152818575 213946005 356576675 1069730025