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1087441056 = 2532131272287
BaseRepresentation
bin100000011010001…
…0000100010100000
32210210012201200200
41000310100202200
54211341103211
6255523345200
735643045042
oct10064204240
92723181620
101087441056
11508917619
12264222200
131443a4460
14a45cda92
1565704b56
hex40d108a0

1087441056 has 144 divisors (see below), whose sum is σ = 3357978624. Its totient is φ = 331817472.

The previous prime is 1087441051. The next prime is 1087441067. The reversal of 1087441056 is 6501447801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1087441056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087441051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474345 + ... + 476631.

It is an arithmetic number, because the mean of its divisors is an integer number (23319296).

Almost surely, 21087441056 is an apocalyptic number.

1087441056 is a gapful number since it is divisible by the number (16) 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 1087441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678989312).

1087441056 is an abundant number, since it is smaller than the sum of its proper divisors (2270537568).

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

1087441056 is a wasteful number, since it uses less digits than its factorization.

1087441056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1087441056 is about 32976.3711769503. The cubic root of 1087441056 is about 1028.3364783464.

Adding to 1087441056 its reverse (6501447801), we get a palindrome (7588888857).

The spelling of 1087441056 in words is "one billion, eighty-seven million, four hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1248 1524 1651 1872 2032 2286 2287 3048 3302 3744 4064 4572 4574 4953 6096 6604 6861 9144 9148 9906 12192 13208 13722 14859 18288 18296 19812 20583 26416 27444 29718 29731 36576 36592 39624 41166 52832 54888 59436 59462 73184 79248 82332 89193 109776 118872 118924 158496 164664 178386 219552 237744 237848 267579 290449 329328 356772 475488 475696 535158 580898 658656 713544 871347 951392 1070316 1161796 1427088 1742694 2140632 2323592 2614041 2854176 3485388 3775837 4281264 4647184 5228082 6970776 7551674 8562528 9294368 10456164 11327511 13941552 15103348 20912328 22655022 27883104 30206696 33982533 41824656 45310044 60413392 67965066 83649312 90620088 120826784 135930132 181240176 271860264 362480352 543720528 1087441056