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1390963540 = 225292412017
BaseRepresentation
bin101001011101000…
…0110101101010100
310120221100021021011
41102322012231110
510322041313130
6350005102004
746316665201
oct12272065524
93527307234
101390963540
1165418754a
123299b7904
13192236665
14d2a3cca8
15821ac52a
hex52e86b54

1390963540 has 72 divisors (see below), whose sum is σ = 3100543992. Its totient is φ = 523837440.

The previous prime is 1390963531. The next prime is 1390963547. The reversal of 1390963540 is 453690931.

It can be written as a sum of positive squares in 12 ways, for example, as 355925956 + 1035037584 = 18866^2 + 32172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1390963493 and 1390963502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390963547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688612 + ... + 690628.

It is an arithmetic number, because the mean of its divisors is an integer number (43063111).

Almost surely, 21390963540 is an apocalyptic number.

1390963540 is a gapful number since it is divisible by the number (10) 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 1390963540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550271996).

1390963540 is an abundant number, since it is smaller than the sum of its proper divisors (1709580452).

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

1390963540 is a wasteful number, since it uses less digits than its factorization.

1390963540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 1390963540 is about 37295.6236038493. The cubic root of 1390963540 is about 1116.2768430147.

The spelling of 1390963540 in words is "one billion, three hundred ninety million, nine hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 841 1189 1682 2017 2378 3364 4034 4205 4756 5945 8068 8410 10085 11890 16820 20170 23780 34481 40340 58493 68962 82697 116986 137924 165394 172405 233972 292465 330788 344810 413485 584930 689620 826970 1169860 1653940 1696297 2398213 3392594 4796426 6785188 8481485 9592852 11991065 16962970 23982130 33925940 47964260 69548177 139096354 278192708 347740885 695481770 1390963540