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10180152 = 2332314561
BaseRepresentation
bin100110110101…
…011000111000
3201011012112200
4212311120320
510101231102
61002110200
7152346513
oct46653070
921135480
1010180152
115823554
1234ab360
132155878
1414cdd7a
15d6151c
hex9b5638

10180152 has 48 divisors (see below), whose sum is σ = 28466880. Its totient is φ = 3283200.

The previous prime is 10180151. The next prime is 10180169. The reversal of 10180152 is 25108101.

10180152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180151) 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, 49 + ... + 4512.

It is an arithmetic number, because the mean of its divisors is an integer number (593060).

Almost surely, 210180152 is an apocalyptic number.

10180152 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 10180152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233440).

10180152 is an abundant number, since it is smaller than the sum of its proper divisors (18286728).

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

10180152 is a wasteful number, since it uses less digits than its factorization.

10180152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10180152 is about 3190.6350465072. The cubic root of 10180152 is about 216.7295291627.

Adding to 10180152 its reverse (25108101), we get a palindrome (35288253).

The spelling of 10180152 in words is "ten million, one hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4561 9122 13683 18244 27366 36488 41049 54732 82098 109464 141391 164196 282782 328392 424173 565564 848346 1131128 1272519 1696692 2545038 3393384 5090076 10180152