Search a number
-
+
1348791680 = 2752299203
BaseRepresentation
bin101000001100100…
…1110110110000000
310110222222201100102
41100121032312000
510230242313210
6341501141532
745265353155
oct12031166600
93428881312
101348791680
116323a3175
1231785a8a8
1318658c3b2
14cb1c222c
157d62bea5
hex5064ed80

1348791680 has 64 divisors (see below), whose sum is σ = 3238887600. Its totient is φ = 537102336.

The previous prime is 1348791667. The next prime is 1348791683. The reversal of 1348791680 is 861978431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348791683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141959 + ... + 151161.

Almost surely, 21348791680 is an apocalyptic number.

1348791680 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 1348791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619443800).

1348791680 is an abundant number, since it is smaller than the sum of its proper divisors (1890095920).

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

1348791680 is an equidigital number, since it uses as much as digits as its factorization.

1348791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 1348791680 is about 36725.8993082538. The cubic root of 1348791680 is about 1104.8796112435.

The spelling of 1348791680 in words is "one billion, three hundred forty-eight million, seven hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 320 458 640 916 1145 1832 2290 3664 4580 7328 9160 9203 14656 18320 18406 29312 36640 36812 46015 73280 73624 92030 146560 147248 184060 294496 368120 588992 736240 1177984 1472480 2107487 2944960 4214974 5889920 8429948 10537435 16859896 21074870 33719792 42149740 67439584 84299480 134879168 168598960 269758336 337197920 674395840 1348791680