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1073392240 = 2451732731
BaseRepresentation
bin111111111110101…
…010101001110000
32202210202222100011
4333332222221300
54144242022430
6254302304304
735412453304
oct7776525160
92683688304
101073392240
115009a1528
1225b588094
131414c5a4b
14a27b3d04
156437c22a
hex3ffaaa70

1073392240 has 80 divisors (see below), whose sum is σ = 2652553440. Its totient is φ = 403952640.

The previous prime is 1073392231. The next prime is 1073392249. The reversal of 1073392240 is 422933701.

It is an interprime number because it is at equal distance from previous prime (1073392231) and next prime (1073392249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073392249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391675 + ... + 394405.

It is an arithmetic number, because the mean of its divisors is an integer number (33156918).

Almost surely, 21073392240 is an apocalyptic number.

1073392240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073392240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326276720).

1073392240 is an abundant number, since it is smaller than the sum of its proper divisors (1579161200).

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

1073392240 is an equidigital number, since it uses as much as digits as its factorization.

1073392240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1073392240 is about 32762.6653372402. The cubic root of 1073392240 is about 1023.8888581767. Note that the first 4 decimals are identical.

The spelling of 1073392240 in words is "one billion, seventy-three million, three hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2731 2890 4624 4913 5462 5780 9826 10924 11560 13655 19652 21848 23120 24565 27310 39304 43696 46427 49130 54620 78608 92854 98260 109240 185708 196520 218480 232135 371416 393040 464270 742832 789259 928540 1578518 1857080 3157036 3714160 3946295 6314072 7892590 12628144 13417403 15785180 26834806 31570360 53669612 63140720 67087015 107339224 134174030 214678448 268348060 536696120 1073392240