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1131501540 = 2235132934951
BaseRepresentation
bin100001101110001…
…0101011111100100
32220212010020022110
41003130111133210
54304131022130
6304140001020
740016414211
oct10334253744
92825106273
101131501540
11530780944
12276b30170
13150560250
14aa3bcb08
1569509ab0
hex437157e4

1131501540 has 96 divisors (see below), whose sum is σ = 3424248576. Its totient is φ = 277516800.

The previous prime is 1131501493. The next prime is 1131501557. The reversal of 1131501540 is 451051311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226065 + ... + 231015.

It is an arithmetic number, because the mean of its divisors is an integer number (35669256).

Almost surely, 21131501540 is an apocalyptic number.

1131501540 is a gapful number since it is divisible by the number (10) 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 1131501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712124288).

1131501540 is an abundant number, since it is smaller than the sum of its proper divisors (2292747036).

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

1131501540 is a wasteful number, since it uses less digits than its factorization.

1131501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1131501540 is about 33637.7992740310. The cubic root of 1131501540 is about 1042.0415825768.

Adding to 1131501540 its reverse (451051311), we get a palindrome (1582552851).

The spelling of 1131501540 in words is "one billion, one hundred thirty-one million, five hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 293 390 586 780 879 1172 1465 1758 2930 3516 3809 4395 4951 5860 7618 8790 9902 11427 14853 15236 17580 19045 19804 22854 24755 29706 38090 45708 49510 57135 59412 64363 74265 76180 99020 114270 128726 148530 193089 228540 257452 297060 321815 386178 643630 772356 965445 1287260 1450643 1930890 2901286 3861780 4351929 5802572 7253215 8703858 14506430 17407716 18858359 21759645 29012860 37716718 43519290 56575077 75433436 87038580 94291795 113150154 188583590 226300308 282875385 377167180 565750770 1131501540