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1073078240 = 255134112583
BaseRepresentation
bin111111111101011…
…101111111100000
32202210012000121112
4333331131333200
54144202000430
6254251442452
735410004663
oct7775357740
92683160545
101073078240
115007a7623
1225b456428
13141415b50
14a27316da
1564319195
hex3ff5dfe0

1073078240 has 96 divisors (see below), whose sum is σ = 2796970176. Its totient is φ = 386519040.

The previous prime is 1073078221. The next prime is 1073078249. The reversal of 1073078240 is 428703701.

It is a happy number.

It is a super-2 number, since 2×10730782402 = 2302993818322995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1073078197 and 1073078206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073078249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78989 + ... + 91571.

It is an arithmetic number, because the mean of its divisors is an integer number (29135106).

Almost surely, 21073078240 is an apocalyptic number.

1073078240 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 1073078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398485088).

1073078240 is an abundant number, since it is smaller than the sum of its proper divisors (1723891936).

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

1073078240 is a wasteful number, since it uses less digits than its factorization.

1073078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1073078240 is about 32757.8729468200. The cubic root of 1073078240 is about 1023.7890088566.

The spelling of 1073078240 in words is "one billion, seventy-three million, seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 328 410 416 520 533 656 820 1040 1066 1312 1640 2080 2132 2665 3280 4264 5330 6560 8528 10660 12583 17056 21320 25166 42640 50332 62915 85280 100664 125830 163579 201328 251660 327158 402656 503320 515903 654316 817895 1006640 1031806 1308632 1635790 2013280 2063612 2579515 2617264 3271580 4127224 5159030 5234528 6543160 6706739 8254448 10318060 13086320 13413478 16508896 20636120 26172640 26826956 33533695 41272240 53653912 67067390 82544480 107307824 134134780 214615648 268269560 536539120 1073078240