Search a number
-
+
10132308 = 2232833391
BaseRepresentation
bin100110101001…
…101101010100
3201001202220200
4212221231110
510043213213
61001100500
7152060154
oct46515524
921052820
1010132308
1157a060a
123487730
132139b64
1414ba764
15d52273
hex9a9b54

10132308 has 36 divisors (see below), whose sum is σ = 25928448. Its totient is φ = 3335760.

The previous prime is 10132279. The next prime is 10132321. The reversal of 10132308 is 80323101.

10132308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293 + ... + 4683.

Almost surely, 210132308 is an apocalyptic number.

10132308 is a gapful number since it is divisible by the number (18) 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 10132308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964224).

10132308 is an abundant number, since it is smaller than the sum of its proper divisors (15796140).

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

10132308 is a wasteful number, since it uses less digits than its factorization.

10132308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10132308 is about 3183.1286496150. The cubic root of 10132308 is about 216.3894722130.

Adding to 10132308 its reverse (80323101), we get a palindrome (90455409).

It can be divided in two parts, 10132 and 308, that added together give a triangular number (10440 = T144).

The spelling of 10132308 in words is "ten million, one hundred thirty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3391 6782 10173 13564 20346 30519 40692 61038 122076 281453 562906 844359 1125812 1688718 2533077 3377436 5066154 10132308