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1072075460 = 22563678419
BaseRepresentation
bin111111111001101…
…001001011000100
32202201022002001112
4333321221023010
54143422403320
6254214144152
735365330301
oct7771511304
92681262045
101072075460
11500182185
1225b052058
131411545a1
14a25500a8
15641bbec5
hex3fe692c4

1072075460 has 24 divisors (see below), whose sum is σ = 2251979520. Its totient is φ = 428711904.

The previous prime is 1072075439. The next prime is 1072075463. The reversal of 1072075460 is 645702701.

It is a super-2 number, since 2×10720754602 = 2298691583868423200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072075463) 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 7 ways as a sum of consecutive naturals, for example, 123131 + ... + 131549.

It is an arithmetic number, because the mean of its divisors is an integer number (93832480).

Almost surely, 21072075460 is an apocalyptic number.

1072075460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072075460 is an abundant number, since it is smaller than the sum of its proper divisors (1179904060).

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

1072075460 is a wasteful number, since it uses less digits than its factorization.

1072075460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14795 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 1072075460 is about 32742.5634304952. The cubic root of 1072075460 is about 1023.4700028844.

It can be divided in two parts, 107207 and 5460, that multiplied together give a triangular number (585350220 = T34215).

The spelling of 1072075460 in words is "one billion, seventy-two million, seventy-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 6367 8419 12734 16838 25468 31835 33676 42095 63670 84190 127340 168380 53603773 107207546 214415092 268018865 536037730 1072075460