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1077171440 = 24513464643
BaseRepresentation
bin100000000110100…
…0101010011110000
32210001212222102112
41000031011103300
54201223441230
6254515304452
735456543342
oct10015052360
92701788375
101077171440
11503042934
122608ab128
13142219c67
14a30b9292
1564876d95
hex403454f0

1077171440 has 20 divisors (see below), whose sum is σ = 2504423784. Its totient is φ = 430868544.

The previous prime is 1077171421. The next prime is 1077171449. The reversal of 1077171440 is 441717701.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10771714402 = 2320596622303347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1077171397 and 1077171406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077171449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6732242 + ... + 6732401.

Almost surely, 21077171440 is an apocalyptic number.

1077171440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077171440 is an abundant number, since it is smaller than the sum of its proper divisors (1427252344).

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

1077171440 is a wasteful number, since it uses less digits than its factorization.

1077171440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13464656 (or 13464650 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 1077171440 is about 32820.2900657505. The cubic root of 1077171440 is about 1025.0890868434.

The spelling of 1077171440 in words is "one billion, seventy-seven million, one hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13464643 26929286 53858572 67323215 107717144 134646430 215434288 269292860 538585720 1077171440