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276573640 = 23572731933
BaseRepresentation
bin10000011111000…
…010110111001000
3201021102101201011
4100133002313020
51031300324030
643235533304
76565560100
oct2037026710
9637371634
10276573640
11132133962
127875a234
13453b7c55
1428a36200
1519432b2a
hex107c2dc8

276573640 has 96 divisors (see below), whose sum is σ = 734185080. Its totient is φ = 93477888.

The previous prime is 276573607. The next prime is 276573677. The reversal of 276573640 is 46375672.

It can be written as a sum of positive squares in 4 ways, for example, as 246301636 + 30272004 = 15694^2 + 5502^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 276573593 and 276573602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142114 + ... + 144046.

Almost surely, 2276573640 is an apocalyptic number.

276573640 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 276573640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367092540).

276573640 is an abundant number, since it is smaller than the sum of its proper divisors (457611440).

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

276573640 is a wasteful number, since it uses less digits than its factorization.

276573640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 276573640 is about 16630.5032996599. The cubic root of 276573640 is about 651.5337665752.

The spelling of 276573640 in words is "two hundred seventy-six million, five hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1460 1933 1960 2044 2555 2920 3577 3866 4088 5110 7154 7732 9665 10220 13531 14308 15464 17885 19330 20440 27062 28616 35770 38660 54124 67655 71540 77320 94717 108248 135310 141109 143080 189434 270620 282218 378868 473585 541240 564436 705545 757736 947170 987763 1128872 1411090 1894340 1975526 2822180 3788680 3951052 4938815 5644360 6914341 7902104 9877630 13828682 19755260 27657364 34571705 39510520 55314728 69143410 138286820 276573640