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1087261120 = 26511499619
BaseRepresentation
bin100000011001110…
…0100100111000000
32210202212120212101
41000303210213000
54211314323440
6255515440144
735641365331
oct10063444700
92722776771
101087261120
11508804410
12264156054
1314434059a
14a4584288
15656bb69a
hex40ce49c0

1087261120 has 112 divisors (see below), whose sum is σ = 2834640000. Its totient is φ = 393937920.

The previous prime is 1087261081. The next prime is 1087261141. The reversal of 1087261120 is 211627801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756171 + ... + 1756789.

Almost surely, 21087261120 is an apocalyptic number.

1087261120 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 1087261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417320000).

1087261120 is an abundant number, since it is smaller than the sum of its proper divisors (1747378880).

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

1087261120 is a wasteful number, since it uses less digits than its factorization.

1087261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1087261120 is about 32973.6428075516. The cubic root of 1087261120 is about 1028.2797565106.

Adding to 1087261120 its reverse (211627801), we get a palindrome (1298888921).

The spelling of 1087261120 in words is "one billion, eighty-seven million, two hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 499 619 704 880 998 1238 1760 1996 2476 2495 3095 3520 3992 4952 4990 5489 6190 6809 7984 9904 9980 10978 12380 13618 15968 19808 19960 21956 24760 27236 27445 31936 34045 39616 39920 43912 49520 54472 54890 68090 79840 87824 99040 108944 109780 136180 159680 175648 198080 217888 219560 272360 308881 351296 435776 439120 544720 617762 878240 1089440 1235524 1544405 1756480 2178880 2471048 3088810 3397691 4942096 6177620 6795382 9884192 12355240 13590764 16988455 19768384 24710480 27181528 33976910 49420960 54363056 67953820 98841920 108726112 135907640 217452224 271815280 543630560 1087261120