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10162048 = 271331197
BaseRepresentation
bin100110110000…
…111110000000
3201010021201011
4212300332000
510100141143
61001450304
7152242651
oct46607600
921107634
1010162048
115810996
1234a0994
13214a560
1414c7528
15d5ae9d
hex9b0f80

10162048 has 64 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 4515840.

The previous prime is 10162043. The next prime is 10162099. The reversal of 10162048 is 84026101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51486 + ... + 51682.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 210162048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

10162048 is an abundant number, since it is smaller than the sum of its proper divisors (12457472).

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

10162048 is a wasteful number, since it uses less digits than its factorization.

10162048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10162048 is about 3187.7967312864. The cubic root of 10162048 is about 216.6009783775.

Adding to 10162048 its reverse (84026101), we get a palindrome (94188149).

The spelling of 10162048 in words is "ten million, one hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 197 208 248 394 403 416 496 788 806 832 992 1576 1612 1664 1984 2561 3152 3224 3968 5122 6107 6304 6448 10244 12214 12608 12896 20488 24428 25216 25792 40976 48856 51584 79391 81952 97712 158782 163904 195424 317564 327808 390848 635128 781696 1270256 2540512 5081024 10162048