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1390736628 = 2236509937
BaseRepresentation
bin101001011100100…
…1111010011110100
310120220220202000000
41102321033103310
510322012033003
6350000151300
746315031511
oct12271172364
93526822000
101390736628
11654042016
12329908530
131921872a8
14d29c0308
15821651a3
hex52e4f4f4

1390736628 has 84 divisors (see below), whose sum is σ = 3660085380. Its totient is φ = 462174336.

The previous prime is 1390736617. The next prime is 1390736639. The reversal of 1390736628 is 8266370931.

1390736628 is a `hidden beast` number, since 13 + 9 + 0 + 7 + 3 + 6 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (1390736617) and next prime (1390736639).

It can be written as a sum of positive squares in 2 ways, for example, as 546717924 + 844018704 = 23382^2 + 29052^2 .

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 27 ways as a sum of consecutive naturals, for example, 1483776 + ... + 1484712.

It is an arithmetic number, because the mean of its divisors is an integer number (43572445).

Almost surely, 21390736628 is an apocalyptic number.

1390736628 is a gapful number since it is divisible by the number (18) 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 1390736628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830042690).

1390736628 is an abundant number, since it is smaller than the sum of its proper divisors (2269348752).

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

1390736628 is an equidigital number, since it uses as much as digits as its factorization.

1390736628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1390736628 is about 37292.5814070305. The cubic root of 1390736628 is about 1116.2161391983.

The spelling of 1390736628 in words is "one billion, three hundred ninety million, seven hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 509 729 937 972 1018 1458 1527 1874 2036 2811 2916 3054 3748 4581 5622 6108 8433 9162 11244 13743 16866 18324 25299 27486 33732 41229 50598 54972 75897 82458 101196 123687 151794 164916 227691 247374 303588 371061 455382 476933 494748 683073 742122 910764 953866 1366146 1430799 1484244 1907732 2732292 2861598 4292397 5723196 8584794 12877191 17169588 25754382 38631573 51508764 77263146 115894719 154526292 231789438 347684157 463578876 695368314 1390736628