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1131641040 = 243517277363
BaseRepresentation
bin100001101110011…
…0111100011010000
32220212101022200010
41003130313203100
54304200003130
6304142554520
740020535005
oct10334674320
92825338603
101131641040
11530866732
12276b98a40
131505ab8aa
14aa4178ac
15695360b0
hex437378d0

1131641040 has 80 divisors (see below), whose sum is σ = 3714458688. Its totient is φ = 284018688.

The previous prime is 1131641039. The next prime is 1131641047. The reversal of 1131641040 is 401461311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11316410402 = 2561222886824563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131640998 and 1131641016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131641047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134602 + ... + 142761.

Almost surely, 21131641040 is an apocalyptic number.

1131641040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131641040 is an abundant number, since it is smaller than the sum of its proper divisors (2582817648).

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

1131641040 is a wasteful number, since it uses less digits than its factorization.

1131641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277396 (or 277390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1131641040 is about 33639.8727702707. The cubic root of 1131641040 is about 1042.0844043854.

The spelling of 1131641040 in words is "one billion, one hundred thirty-one million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 277363 554726 832089 1109452 1386815 1664178 2218904 2773630 3328356 4160445 4437808 4715171 5547260 6656712 8320890 9430342 11094520 13313424 14145513 16641780 18860684 22189040 23575855 28291026 33283560 37721368 47151710 56582052 66567120 70727565 75442736 94303420 113164104 141455130 188606840 226328208 282910260 377213680 565820520 1131641040