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10148996 = 22112131613
BaseRepresentation
bin100110101101…
…110010000100
3201002121210202
4212231302010
510044231441
61001310032
7152156624
oct46556204
921077722
1010148996
115802100
123495318
132144630
1414c2884
15d5719b
hex9adc84

10148996 has 36 divisors (see below), whose sum is σ = 21036876. Its totient is φ = 4255680.

The previous prime is 10148993. The next prime is 10149001. The reversal of 10148996 is 69984101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3748096 + 6400900 = 1936^2 + 2530^2 .

It is not an unprimeable number, because it can be changed into a prime (10148993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5486 + ... + 7098.

Almost surely, 210148996 is an apocalyptic number.

It is an amenable number.

10148996 is an abundant number, since it is smaller than the sum of its proper divisors (10887880).

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

10148996 is a wasteful number, since it uses less digits than its factorization.

10148996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 10148996 is about 3185.7488915481. The cubic root of 10148996 is about 216.5082055037.

The spelling of 10148996 in words is "ten million, one hundred forty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 1613 3146 3226 6292 6452 17743 20969 35486 41938 70972 83876 195173 230659 390346 461318 780692 922636 2537249 5074498 10148996