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1536285696 = 21031124133
BaseRepresentation
bin101101110010001…
…1101110000000000
310222001210101210020
41123210131300000
511121242120241
6412235533440
753033133021
oct13344356000
93861711706
101536285696
11719214200
1236a5ba280
131b63882ba
1410806ac48
158ed15b66
hex5b91dc00

1536285696 has 132 divisors (see below), whose sum is σ = 4501942536. Its totient is φ = 465428480.

The previous prime is 1536285691. The next prime is 1536285731. The reversal of 1536285696 is 6965826351.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536285691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369646 + ... + 373778.

Almost surely, 21536285696 is an apocalyptic number.

1536285696 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 1536285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250971268).

1536285696 is an abundant number, since it is smaller than the sum of its proper divisors (2965656840).

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

1536285696 is a wasteful number, since it uses less digits than its factorization.

1536285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4149 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 1536285696 is about 39195.4805557988. The cubic root of 1536285696 is about 1153.8711873899.

The spelling of 1536285696 in words is "one billion, five hundred thirty-six million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4133 4224 5632 5808 7744 8266 8448 11264 11616 12399 15488 16532 16896 23232 24798 30976 33064 33792 45463 46464 49596 61952 66128 90926 92928 99192 123904 132256 136389 181852 185856 198384 264512 272778 363704 371712 396768 500093 529024 545556 727408 793536 1000186 1058048 1091112 1454816 1500279 1587072 2000372 2116096 2182224 2909632 3000558 3174144 4000744 4232192 4364448 5819264 6001116 6348288 8001488 8728896 11638528 12002232 12696576 16002976 17457792 23277056 24004464 32005952 34915584 46554112 48008928 64011904 69831168 96017856 128023808 139662336 192035712 256047616 384071424 512095232 768142848 1536285696