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2136708480 = 27353135899
BaseRepresentation
bin111111101011011…
…1001010110000000
312111220121001000010
41333112321112000
513333444132410
6552005024520
7103643502534
oct17726712600
95456531003
102136708480
119a7130785
124b76b5140
132808a145a
14163ac3bc4
15c78b8c20
hex7f5b9580

2136708480 has 128 divisors (see below), whose sum is σ = 7030656000. Its totient is φ = 551393280.

The previous prime is 2136708451. The next prime is 2136708491. The reversal of 2136708480 is 848076312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41571 + ... + 77469.

It is an arithmetic number, because the mean of its divisors is an integer number (54927000).

Almost surely, 22136708480 is an apocalyptic number.

2136708480 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 2136708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515328000).

2136708480 is an abundant number, since it is smaller than the sum of its proper divisors (4893947520).

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

2136708480 is a wasteful number, since it uses less digits than its factorization.

2136708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35952 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2136708480 is about 46224.5441297153. The cubic root of 2136708480 is about 1287.9977109896.

The spelling of 2136708480 in words is "two billion, one hundred thirty-six million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 9920 11904 14880 19840 29760 35899 59520 71798 107697 143596 179495 215394 287192 358990 430788 538485 574384 717980 861576 1076970 1112869 1148768 1435960 1723152 2153940 2225738 2297536 2871920 3338607 3446304 4307880 4451476 4595072 5564345 5743840 6677214 6892608 8615760 8902952 11128690 11487680 13354428 13785216 16693035 17231520 17805904 22257380 22975360 26708856 33386070 34463040 35611808 44514760 53417712 66772140 68926080 71223616 89029520 106835424 133544280 142447232 178059040 213670848 267088560 356118080 427341696 534177120 712236160 1068354240 2136708480