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10147842 = 234371693
BaseRepresentation
bin100110101101…
…100000000010
3201002120020000
4212231200002
510044212332
61001300430
7152153355
oct46554002
921076200
1010147842
115801251
123494716
132143c53
1414c229c
15d56b7c
hex9ad802

10147842 has 40 divisors (see below), whose sum is σ = 23367036. Its totient is φ = 3289248.

The previous prime is 10147831. The next prime is 10147847. The reversal of 10147842 is 24874101.

It can be written as a sum of positive squares in 2 ways, for example, as 9865881 + 281961 = 3141^2 + 531^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10147847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5148 + ... + 6840.

Almost surely, 210147842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10147842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683518).

10147842 is an abundant number, since it is smaller than the sum of its proper divisors (13219194).

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

10147842 is a wasteful number, since it uses less digits than its factorization.

10147842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10147842 is about 3185.5677672905. The cubic root of 10147842 is about 216.4999991111.

The spelling of 10147842 in words is "ten million, one hundred forty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1693 1998 2997 3386 5079 5994 10158 15237 30474 45711 62641 91422 125282 137133 187923 274266 375846 563769 1127538 1691307 3382614 5073921 10147842