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2139711360 = 27359711489
BaseRepresentation
bin111111110001001…
…0110011110000000
312112010020121011220
41333202112132000
513340231230420
6552153235040
7104011150353
oct17742263600
95463217156
102139711360
119a88a18a6
124b8702a80
132813b31c7
1416426629a
15c7cad840
hex7f896780

2139711360 has 128 divisors (see below), whose sum is σ = 6891242400. Its totient is φ = 564658176.

The previous prime is 2139711349. The next prime is 2139711383. The reversal of 2139711360 is 631179312.

2139711360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×21397113602 = 9156729408226099200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180496 + ... + 191984.

Almost surely, 22139711360 is an apocalyptic number.

2139711360 is a gapful number since it is divisible by the number (20) 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 2139711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445621200).

2139711360 is an abundant number, since it is smaller than the sum of its proper divisors (4751531040).

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

2139711360 is a wasteful number, since it uses less digits than its factorization.

2139711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11608 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 2139711360 is about 46257.0141708260. The cubic root of 2139711360 is about 1288.6008024823.

The spelling of 2139711360 in words is "two billion, one hundred thirty-nine million, seven hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 291 320 384 388 480 485 582 640 776 960 970 1164 1455 1552 1920 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11489 11640 12416 15520 18624 22978 23280 31040 34467 37248 45956 46560 57445 62080 68934 91912 93120 114890 137868 172335 183824 186240 229780 275736 344670 367648 459560 551472 689340 735296 919120 1102944 1114433 1378680 1470592 1838240 2205888 2228866 2757360 3343299 3676480 4411776 4457732 5514720 5572165 6686598 7352960 8915464 11029440 11144330 13373196 16716495 17830928 22058880 22288660 26746392 33432990 35661856 44577320 53492784 66865980 71323712 89154640 106985568 133731960 142647424 178309280 213971136 267463920 356618560 427942272 534927840 713237120 1069855680 2139711360