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1153534096 = 2411132272221
BaseRepresentation
bin100010011000001…
…1000100010010000
32222101120121022001
41010300120202100
54330301042341
6310244123344
740404610111
oct10460304220
92871517261
101153534096
1154215a270
12282396554
13154ca5870
14ad2b6208
156b40cd31
hex44c18890

1153534096 has 80 divisors (see below), whose sum is σ = 2638456128. Its totient is φ = 481651200.

The previous prime is 1153534069. The next prime is 1153534097. The reversal of 1153534096 is 6904353511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1153534097) 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, 518266 + ... + 520486.

Almost surely, 21153534096 is an apocalyptic number.

1153534096 is a gapful number since it is divisible by the number (16) 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 1153534096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319228064).

1153534096 is an abundant number, since it is smaller than the sum of its proper divisors (1484922032).

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

1153534096 is a wasteful number, since it uses less digits than its factorization.

1153534096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 1153534096 is about 33963.7173466039. The cubic root of 1153534096 is about 1048.7616833258.

The spelling of 1153534096 in words is "one billion, one hundred fifty-three million, five hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 227 286 454 572 908 1144 1816 2221 2288 2497 2951 3632 4442 4994 5902 8884 9988 11804 17768 19976 23608 24431 28873 32461 35536 39952 47216 48862 57746 64922 97724 115492 129844 195448 230984 259688 317603 390896 461968 504167 519376 635206 1008334 1270412 2016668 2540824 4033336 5081648 5545837 6554171 8066672 11091674 13108342 22183348 26216684 44366696 52433368 72095881 88733392 104866736 144191762 288383524 576767048 1153534096