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1350116560 = 245132356443
BaseRepresentation
bin101000001111001…
…0010010011010000
310111002111000202001
41100132102103100
510231112212220
6341545403344
745312541612
oct12036222320
93432430661
101350116560
11633118611
12318199554
13186934450
14cb448db2
157d7de80a
hex507924d0

1350116560 has 80 divisors (see below), whose sum is σ = 3527524224. Its totient is φ = 476822016.

The previous prime is 1350116539. The next prime is 1350116567. The reversal of 1350116560 is 656110531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350116567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4302 + ... + 52141.

Almost surely, 21350116560 is an apocalyptic number.

1350116560 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 1350116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763762112).

1350116560 is an abundant number, since it is smaller than the sum of its proper divisors (2177407664).

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

1350116560 is a wasteful number, since it uses less digits than its factorization.

1350116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56492 (or 56486 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 1350116560 is about 36743.9322882024. The cubic root of 1350116560 is about 1105.2412568776.

The spelling of 1350116560 in words is "one billion, three hundred fifty million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 56443 112886 225772 282215 451544 564430 733759 903088 1128860 1298189 1467518 2257720 2596378 2935036 3668795 4515440 5192756 5870072 6490945 7337590 10385512 11740144 12981890 14675180 16876457 20771024 25963780 29350360 33752914 51927560 58700720 67505828 84382285 103855120 135011656 168764570 270023312 337529140 675058280 1350116560