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1308992640 = 27354391553
BaseRepresentation
bin100111000000101…
…1010010010000000
310101020002201022220
41032001122102000
510140100231030
6333520131040
744303153034
oct11601322200
93336081286
101308992640
1161198a5aa
12306466a80
1317b266177
14c5bc21c4
1579db9a10
hex4e05a480

1308992640 has 128 divisors (see below), whose sum is σ = 4184611200. Its totient is φ = 348045312.

The previous prime is 1308992617. The next prime is 1308992647. The reversal of 1308992640 is 462998031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1308992592 and 1308992601.

It is not an unprimeable number, because it can be changed into a prime (1308992647) 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, 842104 + ... + 843656.

It is an arithmetic number, because the mean of its divisors is an integer number (32692275).

Almost surely, 21308992640 is an apocalyptic number.

1308992640 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 1308992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092305600).

1308992640 is an abundant number, since it is smaller than the sum of its proper divisors (2875618560).

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

1308992640 is a wasteful number, since it uses less digits than its factorization.

1308992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1308992640 is about 36180.0033167494. The cubic root of 1308992640 is about 1093.9036419158.

The spelling of 1308992640 in words is "one billion, three hundred eight million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 439 480 640 878 960 1317 1553 1756 1920 2195 2634 3106 3512 4390 4659 5268 6212 6585 7024 7765 8780 9318 10536 12424 13170 14048 15530 17560 18636 21072 23295 24848 26340 28096 31060 35120 37272 42144 46590 49696 52680 56192 62120 70240 74544 84288 93180 99392 105360 124240 140480 149088 168576 186360 198784 210720 248480 280960 298176 372720 421440 496960 596352 681767 745440 842880 993920 1363534 1490880 2045301 2727068 2981760 3408835 4090602 5454136 6817670 8181204 10226505 10908272 13635340 16362408 20453010 21816544 27270680 32724816 40906020 43633088 54541360 65449632 81812040 87266176 109082720 130899264 163624080 218165440 261798528 327248160 436330880 654496320 1308992640