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10159248 = 2431171271
BaseRepresentation
bin100110110000…
…010010010000
3201010010212110
4212300102100
510100043443
61001425320
7152231541
oct46602220
921103773
1010159248
115809880
12349b240
1321491b8
1414c64c8
15d5a233
hex9b0490

10159248 has 80 divisors (see below), whose sum is σ = 29140992. Its totient is φ = 3024000.

The previous prime is 10159241. The next prime is 10159271. The reversal of 10159248 is 84295101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10159241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37353 + ... + 37623.

Almost surely, 210159248 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 10159248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570496).

10159248 is an abundant number, since it is smaller than the sum of its proper divisors (18981744).

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

10159248 is a wasteful number, since it uses less digits than its factorization.

10159248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 10159248 is about 3187.3575262276. The cubic root of 10159248 is about 216.5810828324.

The spelling of 10159248 in words is "ten million, one hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 271 284 426 528 542 568 781 813 852 1084 1136 1562 1626 1704 2168 2343 2981 3124 3252 3408 4336 4686 5962 6248 6504 8943 9372 11924 12496 13008 17886 18744 19241 23848 35772 37488 38482 47696 57723 71544 76964 115446 143088 153928 211651 230892 307856 423302 461784 634953 846604 923568 1269906 1693208 2539812 3386416 5079624 10159248