Search a number
-
+
276528 = 2437823
BaseRepresentation
bin1000011100000110000
3112001022210
41003200300
532322103
65532120
72231130
oct1034060
9461283
10276528
1117983a
12114040
1398b35
1472ac0
1556e03
hex43830

276528 has 40 divisors (see below), whose sum is σ = 817408. Its totient is φ = 78912.

The previous prime is 276527. The next prime is 276553. The reversal of 276528 is 825672.

276528 = 772 + 782 + ... + 1082.

276528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 276495 and 276504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 747.

2276528 is an apocalyptic number.

276528 is a gapful number since it is divisible by the number (28) 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 276528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408704).

276528 is an abundant number, since it is smaller than the sum of its proper divisors (540880).

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

276528 is a wasteful number, since it uses less digits than its factorization.

276528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 276528 is about 525.8592967705. The cubic root of 276528 is about 65.1497926046.

It can be divided in two parts, 27 and 6528, that added together give a triangular number (6555 = T114).

The spelling of 276528 in words is "two hundred seventy-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 823 1646 2469 3292 4938 5761 6584 9876 11522 13168 17283 19752 23044 34566 39504 46088 69132 92176 138264 276528