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1340613920 = 25511374149
BaseRepresentation
bin100111111101000…
…0010010100100000
310110102121020120102
41033322002110200
510221144121140
6341010001532
745136013252
oct11772022440
93412536512
101340613920
11628818098
12314b762a8
13184988099
14ca093cd2
157ca63e15
hex4fe82520

1340613920 has 48 divisors (see below), whose sum is σ = 3195271800. Its totient is φ = 531492864.

The previous prime is 1340613893. The next prime is 1340613929. The reversal of 1340613920 is 293160431.

It can be written as a sum of positive squares in 4 ways, for example, as 739187344 + 601426576 = 27188^2 + 24524^2 .

It is not an unprimeable number, because it can be changed into a prime (1340613929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18995 + ... + 55154.

Almost surely, 21340613920 is an apocalyptic number.

1340613920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340613920 is an abundant number, since it is smaller than the sum of its proper divisors (1854657880).

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

1340613920 is a wasteful number, since it uses less digits than its factorization.

1340613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74277 (or 74269 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1340613920 is about 36614.3949833942. The cubic root of 1340613920 is about 1102.6421115893.

The spelling of 1340613920 in words is "one billion, three hundred forty million, six hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 74149 148298 296596 370745 593192 741490 1186384 1482980 2372768 2965960 5931920 8378837 11863840 16757674 33515348 41894185 67030696 83788370 134061392 167576740 268122784 335153480 670306960 1340613920