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10132276 = 2271167491
BaseRepresentation
bin100110101001…
…101100110100
3201001202212111
4212221230310
510043213101
61001100404
7152060110
oct46515464
921052774
1010132276
1157a0590
123487704
132139b3b
1414ba740
15d52251
hex9a9b34

10132276 has 48 divisors (see below), whose sum is σ = 22482432. Its totient is φ = 3880800.

The previous prime is 10132273. The next prime is 10132279. The reversal of 10132276 is 67223101.

10132276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10132273) and next prime (10132279).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20391 + ... + 20881.

It is an arithmetic number, because the mean of its divisors is an integer number (468384).

Almost surely, 210132276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241216).

10132276 is an abundant number, since it is smaller than the sum of its proper divisors (12350156).

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

10132276 is a wasteful number, since it uses less digits than its factorization.

10132276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10132276 is about 3183.1236231099. The cubic root of 10132276 is about 216.3892444113.

Adding to 10132276 its reverse (67223101), we get a palindrome (77355377).

The spelling of 10132276 in words is "ten million, one hundred thirty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 491 737 938 982 1474 1876 1964 2948 3437 5159 5401 6874 10318 10802 13748 20636 21604 32897 37807 65794 75614 131588 151228 230279 361867 460558 723734 921116 1447468 2533069 5066138 10132276