Search a number
-
+
276640 = 25571319
BaseRepresentation
bin1000011100010100000
3112001110221
41003202200
532323030
65532424
72231350
oct1034240
9461427
10276640
11179931
12114114
1398bc0
1472b60
1556e7a
hex438a0

276640 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 82944.

The previous prime is 276637. The next prime is 276671. The reversal of 276640 is 46672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14551 + ... + 14569.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2276640 is an apocalyptic number.

276640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

276640 is the 304-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

276640 is an abundant number, since it is smaller than the sum of its proper divisors (570080).

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

276640 is a wasteful number, since it uses less digits than its factorization.

276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 276640 is about 525.9657783544. The cubic root of 276640 is about 65.1585871231.

The spelling of 276640 in words is "two hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 160 182 190 208 224 247 260 266 280 304 364 380 416 455 494 520 532 560 608 665 728 760 910 988 1040 1064 1120 1235 1330 1456 1520 1729 1820 1976 2080 2128 2470 2660 2912 3040 3458 3640 3952 4256 4940 5320 6916 7280 7904 8645 9880 10640 13832 14560 17290 19760 21280 27664 34580 39520 55328 69160 138320 276640