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1071745272 = 233213288079
BaseRepresentation
bin111111111000011…
…000100011111000
32202200200022010100
4333320120203320
54143331322042
6254203115400
735362453533
oct7770304370
92680608110
101071745272
114aaa770a4
1225ab12b60
1314106a200
14a24a5a1a
156415424c
hex3fe188f8

1071745272 has 72 divisors (see below), whose sum is σ = 3143134800. Its totient is φ = 329764032.

The previous prime is 1071745267. The next prime is 1071745273. The reversal of 1071745272 is 2725471701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10717452722 = 2297275856108707968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071745273) 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 17 ways as a sum of consecutive naturals, for example, 31872 + ... + 56207.

It is an arithmetic number, because the mean of its divisors is an integer number (43654650).

Almost surely, 21071745272 is an apocalyptic number.

1071745272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1071745272 is an abundant number, since it is smaller than the sum of its proper divisors (2071389528).

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

1071745272 is a wasteful number, since it uses less digits than its factorization.

1071745272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88117 (or 88097 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 1071745272 is about 32737.5208590999. The cubic root of 1071745272 is about 1023.3649194191.

The spelling of 1071745272 in words is "one billion, seventy-one million, seven hundred forty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 88079 176158 264237 352316 528474 704632 792711 1056948 1145027 1585422 2113896 2290054 3170844 3435081 4580108 6341688 6870162 9160216 10305243 13740324 14885351 20610486 27480648 29770702 41220972 44656053 59541404 82441944 89312106 119082808 133968159 178624212 267936318 357248424 535872636 1071745272