Search a number
-
+
1087251540 = 22355326451
BaseRepresentation
bin100000011001110…
…0010010001010100
32210202212002201120
41000303202101110
54211314022130
6255515323540
735641325364
oct10063422124
92722762646
101087251540
115087a81a1
122641505b0
1314433910b
14a45809a4
15656b8910
hex40ce2454

1087251540 has 72 divisors (see below), whose sum is σ = 3103308768. Its totient is φ = 284419200.

The previous prime is 1087251527. The next prime is 1087251547. The reversal of 1087251540 is 451527801.

It is a super-2 number, since 2×10872515402 = 2364231822464743200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087251547) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165315 + ... + 171765.

Almost surely, 21087251540 is an apocalyptic number.

1087251540 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 1087251540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551654384).

1087251540 is an abundant number, since it is smaller than the sum of its proper divisors (2016057228).

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

1087251540 is a wasteful number, since it uses less digits than its factorization.

1087251540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 1087251540 is about 32973.4975396909. The cubic root of 1087251540 is about 1028.2767363992.

The spelling of 1087251540 in words is "one billion, eighty-seven million, two hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2809 3180 5618 6451 8427 11236 12902 14045 16854 19353 25804 28090 32255 33708 38706 42135 56180 64510 77412 84270 96765 129020 168540 193530 341903 387060 683806 1025709 1367612 1709515 2051418 3419030 4102836 5128545 6838060 10257090 18120859 20514180 36241718 54362577 72483436 90604295 108725154 181208590 217450308 271812885 362417180 543625770 1087251540