Search a number
-
+
1322073640 = 235378910037
BaseRepresentation
bin100111011001101…
…0011111000101000
310102010201022002101
41032303103320220
510201422324030
6335104343144
744522304046
oct11663237050
93363638071
101322073640
11619304548
1230a914ab4
13180b961c4
14c7829396
157b1007ca
hex4ecd3e28

1322073640 has 64 divisors (see below), whose sum is σ = 3089696400. Its totient is φ = 508704768.

The previous prime is 1322073617. The next prime is 1322073661. The reversal of 1322073640 is 463702231.

It can be written as a sum of positive squares in 8 ways, for example, as 537961636 + 784112004 = 23194^2 + 28002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1322073599 and 1322073608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126702 + ... + 136738.

Almost surely, 21322073640 is an apocalyptic number.

1322073640 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 1322073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544848200).

1322073640 is an abundant number, since it is smaller than the sum of its proper divisors (1767622760).

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

1322073640 is a wasteful number, since it uses less digits than its factorization.

1322073640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10174 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 1322073640 is about 36360.3305815555. The cubic root of 1322073640 is about 1097.5354298679.

Adding to 1322073640 its reverse (463702231), we get a palindrome (1785775871).

The spelling of 1322073640 in words is "one billion, three hundred twenty-two million, seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 89 148 178 185 296 356 370 445 712 740 890 1480 1780 3293 3560 6586 10037 13172 16465 20074 26344 32930 40148 50185 65860 80296 100370 131720 200740 371369 401480 742738 893293 1485476 1786586 1856845 2970952 3573172 3713690 4466465 7146344 7427380 8932930 14854760 17865860 33051841 35731720 66103682 132207364 165259205 264414728 330518410 661036820 1322073640