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1071448040 = 235133166467
BaseRepresentation
bin111111110111001…
…111111111101000
32202200010012101202
4333313033333220
54143242314130
6254152503332
735360105135
oct7767177750
92680105352
101071448040
114aa893853
1225a9aab48
13140c94b30
14a242958c
15640e6145
hex3fdcffe8

1071448040 has 64 divisors (see below), whose sum is σ = 2679989760. Its totient is φ = 382844160.

The previous prime is 1071448013. The next prime is 1071448043. The reversal of 1071448040 is 408441701.

It is a super-2 number, since 2×10714480402 = 2296001804839683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071447994 and 1071448012.

It is not an unprimeable number, because it can be changed into a prime (1071448043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17114 + ... + 49353.

It is an arithmetic number, because the mean of its divisors is an integer number (41874840).

Almost surely, 21071448040 is an apocalyptic number.

1071448040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071448040 is an abundant number, since it is smaller than the sum of its proper divisors (1608541720).

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

1071448040 is a wasteful number, since it uses less digits than its factorization.

1071448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66522 (or 66518 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 1071448040 is about 32732.9809213888. The cubic root of 1071448040 is about 1023.2703058533.

Adding to 1071448040 its reverse (408441701), we get a palindrome (1479889741).

The spelling of 1071448040 in words is "one billion, seventy-one million, four hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 66467 132934 265868 332335 531736 664670 864071 1329340 1728142 2060477 2658680 3456284 4120954 4320355 6912568 8241908 8640710 10302385 16483816 17281420 20604770 26786201 34562840 41209540 53572402 82419080 107144804 133931005 214289608 267862010 535724020 1071448040