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1093685312 = 26103251661
BaseRepresentation
bin100000100110000…
…0101000001000000
32211012221222012102
41001030011001000
54214440412222
6300305245532
736050112626
oct10114050100
92735858172
101093685312
115113a1a65
122663338a8
1314577c695
14a5377516
1566039d92
hex41305040

1093685312 has 56 divisors (see below), whose sum is σ = 2203411392. Its totient is φ = 538560000.

The previous prime is 1093685297. The next prime is 1093685317. The reversal of 1093685312 is 2135863901.

It is a happy number.

It is a super-2 number, since 2×10936853122 = 2392295123369074688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1093685317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654262 + ... + 1654922.

It is an arithmetic number, because the mean of its divisors is an integer number (39346632).

Almost surely, 21093685312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101705696).

1093685312 is an abundant number, since it is smaller than the sum of its proper divisors (1109726080).

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

1093685312 is a wasteful number, since it uses less digits than its factorization.

1093685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 1093685312 is about 33070.9133832134. The cubic root of 1093685312 is about 1030.3010123457.

The spelling of 1093685312 in words is "one billion, ninety-three million, six hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 206 251 412 502 661 824 1004 1322 1648 2008 2644 3296 4016 5288 6592 8032 10576 16064 21152 25853 42304 51706 68083 103412 136166 165911 206824 272332 331822 413648 544664 663644 827296 1089328 1327288 1654592 2178656 2654576 4357312 5309152 10618304 17088833 34177666 68355332 136710664 273421328 546842656 1093685312