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1126053632 = 2811894493
BaseRepresentation
bin100001100011110…
…0011011100000000
32220110212110012002
41003013203130000
54301232204012
6303423123132
736622204124
oct10307433400
92813773162
101126053632
1152869a840
122751434a8
1314c3a3632
14a97a1584
1568cd07c2
hex431e3700

1126053632 has 72 divisors (see below), whose sum is σ = 2480148720. Its totient is φ = 505978880.

The previous prime is 1126053629. The next prime is 1126053647. The reversal of 1126053632 is 2363506211.

It is a junction number, because it is equal to n+sod(n) for n = 1126053595 and 1126053604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248378 + ... + 252870.

It is an arithmetic number, because the mean of its divisors is an integer number (34446510).

Almost surely, 21126053632 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 1126053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240074360).

1126053632 is an abundant number, since it is smaller than the sum of its proper divisors (1354095088).

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

1126053632 is an equidigital number, since it uses as much as digits as its factorization.

1126053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1126053632 is about 33556.7226051651. The cubic root of 1126053632 is about 1040.3664980491.

Adding to 1126053632 its reverse (2363506211), we get a palindrome (3489559843).

The spelling of 1126053632 in words is "one billion, one hundred twenty-six million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 256 352 356 704 712 979 1408 1424 1958 2816 2848 3916 4493 5696 7832 8986 11392 15664 17972 22784 31328 35944 49423 62656 71888 98846 125312 143776 197692 250624 287552 395384 399877 575104 790768 799754 1150208 1581536 1599508 3163072 3199016 4398647 6326144 6398032 8797294 12652288 12796064 17594588 25592128 35189176 51184256 70378352 102368512 140756704 281513408 563026816 1126053632