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1153531540 = 225721177073
BaseRepresentation
bin100010011000001…
…0111111010010100
32222101120110210101
41010300113322110
54330301002130
6310244103444
740404566500
oct10460277224
92871513711
101153531540
11542158357
12282394b84
13154ca4655
14ad2b5300
156b40c1ca
hex44c17e94

1153531540 has 36 divisors (see below), whose sum is σ = 2817915156. Its totient is φ = 395496192.

The previous prime is 1153531531. The next prime is 1153531541. The reversal of 1153531540 is 451353511.

It can be written as a sum of positive squares in 2 ways, for example, as 766071684 + 387459856 = 27678^2 + 19684^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1153531499 and 1153531508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153531541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587557 + ... + 589516.

It is an arithmetic number, because the mean of its divisors is an integer number (78275421).

Almost surely, 21153531540 is an apocalyptic number.

1153531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153531540 is an abundant number, since it is smaller than the sum of its proper divisors (1664383616).

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

1153531540 is a wasteful number, since it uses less digits than its factorization.

1153531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177096 (or 1177087 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 1153531540 is about 33963.6797181931. The cubic root of 1153531540 is about 1048.7609087101.

The spelling of 1153531540 in words is "one billion, one hundred fifty-three million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1177073 2354146 4708292 5885365 8239511 11770730 16479022 23541460 32958044 41197555 57676577 82395110 115353154 164790220 230706308 288382885 576765770 1153531540