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276461240 = 235111016221
BaseRepresentation
bin10000011110100…
…111011010111000
3201021012200112012
4100132213122320
51031233224430
643233305052
76564611306
oct2036473270
9637180465
10276461240
11132067470
1278705188
1345378a43
1428a07276
151940e695
hex107a76b8

276461240 has 64 divisors (see below), whose sum is σ = 685415520. Its totient is φ = 99520000.

The previous prime is 276461209. The next prime is 276461243. The reversal of 276461240 is 42164672.

276461240 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 = 276461197 and 276461206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276461243) 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, 41330 + ... + 47550.

Almost surely, 2276461240 is an apocalyptic number.

276461240 is a gapful number since it is divisible by the number (20) 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 276461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342707760).

276461240 is an abundant number, since it is smaller than the sum of its proper divisors (408954280).

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

276461240 is a wasteful number, since it uses less digits than its factorization.

276461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 276461240 is about 16627.1236237661. The cubic root of 276461240 is about 651.4454931372.

The spelling of 276461240 in words is "two hundred seventy-six million, four hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 6221 8888 11110 12442 22220 24884 31105 44440 49768 62210 68431 124420 136862 248840 273724 342155 547448 628321 684310 1256642 1368620 2513284 2737240 3141605 5026568 6283210 6911531 12566420 13823062 25132840 27646124 34557655 55292248 69115310 138230620 276461240