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1087633040 = 245131045801
BaseRepresentation
bin100000011010011…
…1111011010010000
32210210120111001012
41000310333122100
54211413224130
6255531430052
735644504544
oct10064773220
92723514035
101087633040
11508a3888a
122642b5328
13144440960
14a463da24
1565741995
hex40d3f690

1087633040 has 40 divisors (see below), whose sum is σ = 2723268408. Its totient is φ = 401587200.

The previous prime is 1087633031. The next prime is 1087633061. The reversal of 1087633040 is 403367801.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 1080831376 = 2608^2 + 32876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1087632988 and 1087633006.

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, 521861 + ... + 523940.

Almost surely, 21087633040 is an apocalyptic number.

1087633040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087633040 is an abundant number, since it is smaller than the sum of its proper divisors (1635635368).

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

1087633040 is a wasteful number, since it uses less digits than its factorization.

1087633040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045827 (or 1045821 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1087633040 is about 32979.2819812682. The cubic root of 1087633040 is about 1028.3969912151.

The spelling of 1087633040 in words is "one billion, eighty-seven million, six hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1045801 2091602 4183204 5229005 8366408 10458010 13595413 16732816 20916020 27190826 41832040 54381652 67977065 83664080 108763304 135954130 217526608 271908260 543816520 1087633040