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1153325540 = 225731934093
BaseRepresentation
bin100010010111110…
…0101100111100100
32222101012000012202
41010233211213210
54330222404130
6310235434032
740403051063
oct10457454744
92871160182
101153325540
11542027604
122822b5918
13154c31963
14ad2601da
156b3bb145
hex44be59e4

1153325540 has 48 divisors (see below), whose sum is σ = 2468485488. Its totient is φ = 452542464.

The previous prime is 1153325539. The next prime is 1153325561. The reversal of 1153325540 is 455233511.

It can be written as a sum of positive squares in 8 ways, for example, as 52678564 + 1100646976 = 7258^2 + 33176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279734 + ... + 283826.

It is an arithmetic number, because the mean of its divisors is an integer number (51426781).

Almost surely, 21153325540 is an apocalyptic number.

1153325540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153325540 is an abundant number, since it is smaller than the sum of its proper divisors (1315159948).

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

1153325540 is a wasteful number, since it uses less digits than its factorization.

1153325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 1153325540 is about 33960.6469314117. The cubic root of 1153325540 is about 1048.6984750440.

It can be divided in two parts, 11533 and 25540, that added together give a palindrome (37073).

The spelling of 1153325540 in words is "one billion, one hundred fifty-three million, three hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 146 193 292 365 386 730 772 965 1460 1930 3860 4093 8186 14089 16372 20465 28178 40930 56356 70445 81860 140890 281780 298789 597578 789949 1195156 1493945 1579898 2987890 3159796 3949745 5975780 7899490 15798980 57666277 115332554 230665108 288331385 576662770 1153325540