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2138421780 = 22325112346957
BaseRepresentation
bin111111101110101…
…1011101000010100
312112000211002012200
41333131123220110
513334413444110
6552105444500
7103664166555
oct17735335024
95460732180
102138421780
119a80a0a30
124b81a0730
13281051241
1416400c32c
15c7b066c0
hex7f75ba14

2138421780 has 144 divisors (see below), whose sum is σ = 7384051584. Its totient is φ = 495855360.

The previous prime is 2138421751. The next prime is 2138421787. The reversal of 2138421780 is 871248312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138421787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22062 + ... + 69018.

It is an arithmetic number, because the mean of its divisors is an integer number (51278136).

Almost surely, 22138421780 is an apocalyptic number.

2138421780 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 2138421780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692025792).

2138421780 is an abundant number, since it is smaller than the sum of its proper divisors (5245629804).

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

2138421780 is a wasteful number, since it uses less digits than its factorization.

2138421780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47006 (or 47001 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2138421780 is about 46243.0727785254. The cubic root of 2138421780 is about 1288.3418753819.

The spelling of 2138421780 in words is "two billion, one hundred thirty-eight million, four hundred twenty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 46957 93914 140871 187828 234785 281742 422613 469570 516527 563484 704355 845226 939140 1033054 1080011 1408710 1549581 1690452 2066108 2113065 2160022 2582635 2817420 3099162 3240033 4226130 4320044 4648743 5165270 5400055 6198324 6480066 7747905 8452260 9297486 9720099 10330540 10800110 11880121 12960132 15495810 16200165 18594972 19440198 21600220 23243715 23760242 30991620 32400330 35640363 38880396 46487430 47520484 48600495 59400605 64800660 71280726 92974860 97200990 106921089 118801210 142561452 178201815 194401980 213842178 237602420 356403630 427684356 534605445 712807260 1069210890 2138421780