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1331528040 = 2332529127541
BaseRepresentation
bin100111101011101…
…1000000101101000
310102210111122002100
41033113120011220
510211332344130
6340043133400
744665541643
oct11727300550
93383448070
101331528040
116236817a7
12311b14260
13182b2661b
14c8baaa5a
157bd6bc60
hex4f5d8168

1331528040 has 96 divisors (see below), whose sum is σ = 4476724200. Its totient is φ = 342827520.

The previous prime is 1331528039. The next prime is 1331528047. The reversal of 1331528040 is 408251331.

It is a happy number.

1331528040 is a `hidden beast` number, since 133 + 1 + 528 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1244255076 + 87272964 = 35274^2 + 9342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1331527995 and 1331528013.

It is not an unprimeable number, because it can be changed into a prime (1331528047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53331 + ... + 74210.

Almost surely, 21331528040 is an apocalyptic number.

1331528040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331528040 is an abundant number, since it is smaller than the sum of its proper divisors (3145196160).

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

1331528040 is a wasteful number, since it uses less digits than its factorization.

1331528040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127587 (or 127580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1331528040 is about 36490.1087967685. The cubic root of 1331528040 is about 1100.1454463324.

Adding to 1331528040 its reverse (408251331), we get a palindrome (1739779371).

The spelling of 1331528040 in words is "one billion, three hundred thirty-one million, five hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 127541 255082 382623 510164 637705 765246 1020328 1147869 1275410 1530492 1913115 2295738 2550820 3060984 3698689 3826230 4591476 5101640 5739345 7397378 7652460 9182952 11096067 11478690 14794756 15304920 18493445 22192134 22957380 29589512 33288201 36986890 44384268 45914760 55480335 66576402 73973780 88768536 110960670 133152804 147947560 166441005 221921340 266305608 332882010 443842680 665764020 1331528040