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1310805840 = 243521412551
BaseRepresentation
bin100111000100001…
…0100111101010000
310101100111211120110
41032020110331100
510141031241330
6334023041320
744324444241
oct11610247520
93340454513
101310805840
11612a08913
12306ba0240
1317b74c576
14c6134cc8
157a126db0
hex4e214f50

1310805840 has 80 divisors (see below), whose sum is σ = 4066989696. Its totient is φ = 349248000.

The previous prime is 1310805833. The next prime is 1310805863. The reversal of 1310805840 is 485080131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1310805798 and 1310805807.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 512565 + ... + 515115.

Almost surely, 21310805840 is an apocalyptic number.

1310805840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310805840 is an abundant number, since it is smaller than the sum of its proper divisors (2756183856).

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

1310805840 is a wasteful number, since it uses less digits than its factorization.

1310805840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1310805840 is about 36205.0526860547. The cubic root of 1310805840 is about 1094.4084960311.

Adding to 1310805840 its reverse (485080131), we get a palindrome (1795885971).

The spelling of 1310805840 in words is "one billion, three hundred ten million, eight hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2141 2551 4282 5102 6423 7653 8564 10204 10705 12755 12846 15306 17128 20408 21410 25510 25692 30612 32115 34256 38265 40816 42820 51020 51384 61224 64230 76530 85640 102040 102768 122448 128460 153060 171280 204080 256920 306120 513840 612240 5461691 10923382 16385073 21846764 27308455 32770146 43693528 54616910 65540292 81925365 87387056 109233820 131080584 163850730 218467640 262161168 327701460 436935280 655402920 1310805840