Search a number
-
+
276540030 = 232513713329
BaseRepresentation
bin10000011110111…
…010101001111110
3201021100200121100
4100132322221332
51031243240110
643235113530
76565360104
oct2036725176
9637320540
10276540030
11132110688
12787428a6
13453a5870
1428a27c74
1519427bc0
hex107baa7e

276540030 has 96 divisors (see below), whose sum is σ = 785453760. Its totient is φ = 67092480.

The previous prime is 276540013. The next prime is 276540073. The reversal of 276540030 is 30045672.

It is a happy number.

276540030 is a `hidden beast` number, since 2 + 7 + 654 + 0 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 276539976 and 276540003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81406 + ... + 84734.

It is an arithmetic number, because the mean of its divisors is an integer number (8181810).

Almost surely, 2276540030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276540030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392726880).

276540030 is an abundant number, since it is smaller than the sum of its proper divisors (508913730).

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

276540030 is a wasteful number, since it uses less digits than its factorization.

276540030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 276540030 is about 16629.4927763898. The cubic root of 276540030 is about 651.5073734393.

The spelling of 276540030 in words is "two hundred seventy-six million, five hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 195 213 234 355 390 426 585 639 710 923 1065 1170 1278 1846 2130 2769 3195 3329 4615 5538 6390 6658 8307 9230 9987 13845 16614 16645 19974 27690 29961 33290 41535 43277 49935 59922 83070 86554 99870 129831 149805 216385 236359 259662 299610 389493 432770 472718 649155 709077 778986 1181795 1298310 1418154 1947465 2127231 2363590 3072667 3545385 3894930 4254462 6145334 7090770 9218001 10636155 15363335 18436002 21272310 27654003 30726670 46090005 55308006 92180010 138270015 276540030