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2731428630 = 232576316871
BaseRepresentation
bin1010001011001110…
…0100101100010110
321001100122221200100
42202303210230112
521043221204010
61131011554530
7124454521530
oct24263445426
97040587610
102731428630
111181902837
126428bba46
13346b6ba78
141bca94850
1510ebe22c0
hexa2ce4b16

2731428630 has 96 divisors (see below), whose sum is σ = 8130290688. Its totient is φ = 623246400.

The previous prime is 2731428629. The next prime is 2731428647. The reversal of 2731428630 is 368241372.

It is a happy number.

2731428630 is a `hidden beast` number, since 2 + 7 + 3 + 14 + 2 + 8 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394095 + ... + 400965.

It is an arithmetic number, because the mean of its divisors is an integer number (84690528).

Almost surely, 22731428630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731428630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065145344).

2731428630 is an abundant number, since it is smaller than the sum of its proper divisors (5398862058).

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

2731428630 is a wasteful number, since it uses less digits than its factorization.

2731428630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2731428630 is about 52263.0713793210. The cubic root of 2731428630 is about 1397.8587385741.

The spelling of 2731428630 in words is "two billion, seven hundred thirty-one million, four hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 631 1262 1893 3155 3786 4417 5679 6310 6871 8834 9465 11358 13251 13742 18930 20613 22085 26502 28395 34355 39753 41226 44170 48097 56790 61839 66255 68710 79506 96194 103065 123678 132510 144291 198765 206130 240485 288582 309195 397530 432873 480970 618390 721455 865746 1442910 2164365 4328730 4335601 8671202 13006803 21678005 26013606 30349207 39020409 43356010 60698414 65034015 78040818 91047621 130068030 151746035 182095242 195102045 273142863 303492070 390204090 455238105 546285726 910476210 1365714315 2731428630