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10150992 = 2432157449
BaseRepresentation
bin100110101110…
…010001010000
3201002201112200
4212232101100
510044312432
61001323200
7152165505
oct46562120
921081480
1010150992
115803655
123496500
132145507
1414c34ac
15d57a7c
hex9ae450

10150992 has 60 divisors (see below), whose sum is σ = 28653300. Its totient is φ = 3354624.

The previous prime is 10150963. The next prime is 10150993. The reversal of 10150992 is 29905101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 5588496 = 2136^2 + 2364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10150993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22384 + ... + 22832.

It is an arithmetic number, because the mean of its divisors is an integer number (477555).

Almost surely, 210150992 is an apocalyptic number.

10150992 is a gapful number since it is divisible by the number (12) 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 10150992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326650).

10150992 is an abundant number, since it is smaller than the sum of its proper divisors (18502308).

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

10150992 is a wasteful number, since it uses less digits than its factorization.

10150992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10150992 is about 3186.0621462865. The cubic root of 10150992 is about 216.5223981080.

It can be divided in two parts, 1015099 and 2, that added together give a palindrome (1015101).

The spelling of 10150992 in words is "ten million, one hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 449 471 628 898 942 1256 1347 1413 1796 1884 2512 2694 2826 3592 3768 4041 5388 5652 7184 7536 8082 10776 11304 16164 21552 22608 32328 64656 70493 140986 211479 281972 422958 563944 634437 845916 1127888 1268874 1691832 2537748 3383664 5075496 10150992