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1087143372 = 2232741432447
BaseRepresentation
bin100000011001100…
…0111110111001100
32210202122121100100
41000303013313030
54211302041442
6255513131100
735640365130
oct10063076714
92722577310
101087143372
115087339a7
122640b9a90
131442cbb03
14a45533c0
156569684c
hex40cc7dcc

1087143372 has 144 divisors (see below), whose sum is σ = 3293402112. Its totient is φ = 295868160.

The previous prime is 1087143347. The next prime is 1087143383. The reversal of 1087143372 is 2733417801.

It is a super-2 number, since 2×10871433722 = 2363761422567060768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443053 + ... + 445499.

It is an arithmetic number, because the mean of its divisors is an integer number (22870848).

Almost surely, 21087143372 is an apocalyptic number.

1087143372 is a gapful number since it is divisible by the number (12) 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 1087143372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646701056).

1087143372 is an abundant number, since it is smaller than the sum of its proper divisors (2206258740).

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

1087143372 is a wasteful number, since it uses less digits than its factorization.

1087143372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1087143372 is about 32971.8572725286. The cubic root of 1087143372 is about 1028.2426350214.

The spelling of 1087143372 in words is "one billion, eighty-seven million, one hundred forty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 43 63 82 84 86 123 126 129 164 172 246 252 258 287 301 369 387 492 516 574 602 738 774 861 903 1148 1204 1476 1548 1722 1763 1806 2447 2583 2709 3444 3526 3612 4894 5166 5289 5418 7052 7341 9788 10332 10578 10836 12341 14682 15867 17129 21156 22023 24682 29364 31734 34258 37023 44046 49364 51387 63468 68516 74046 88092 100327 102774 105221 111069 148092 154161 200654 205548 210442 222138 300981 308322 315663 401308 420884 444276 601962 616644 631326 702289 736547 902943 946989 1203924 1262652 1404578 1473094 1805886 1893978 2106867 2209641 2809156 2946188 3611772 3787956 4213734 4314061 4419282 6320601 6628923 8427468 8628122 8838564 12641202 12942183 13257846 17256244 25282404 25884366 26515692 30198427 38826549 51768732 60396854 77653098 90595281 120793708 155306196 181190562 271785843 362381124 543571686 1087143372