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2145702000 = 243531327509
BaseRepresentation
bin111111111100100…
…1101000001110000
312112112111221210110
41333321031001300
513343244431000
6552525501320
7104113110651
oct17771150160
95475457713
102145702000
11a01213742
124ba711840
132826ccb70
14164d85528
15c8593850
hex7fe4d070

2145702000 has 160 divisors (see below), whose sum is σ = 7450148160. Its totient is φ = 528153600.

The previous prime is 2145701963. The next prime is 2145702043. The reversal of 2145702000 is 2075412.

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 31 ways as a sum of consecutive naturals, for example, 64246 + ... + 91754.

It is an arithmetic number, because the mean of its divisors is an integer number (46563426).

Almost surely, 22145702000 is an apocalyptic number.

2145702000 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 2145702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725074080).

2145702000 is an abundant number, since it is smaller than the sum of its proper divisors (5304446160).

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

2145702000 is a wasteful number, since it uses less digits than its factorization.

2145702000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27548 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2145702000 is about 46321.7227658903. The cubic root of 2145702000 is about 1289.8022652273.

Adding to 2145702000 its reverse (2075412), we get a palindrome (2147777412).

The spelling of 2145702000 in words is "two billion, one hundred forty-five million, seven hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 27509 39000 55018 78000 82527 110036 137545 165054 220072 275090 330108 357617 412635 440144 550180 660216 687725 715234 825270 1072851 1100360 1320432 1375450 1430468 1650540 1788085 2063175 2145702 2200720 2750900 2860936 3301080 3438625 3576170 4126350 4291404 5364255 5501800 5721872 6602160 6877250 7152340 8252700 8582808 8940425 10315875 10728510 11003600 13754500 14304680 16505400 17165616 17880850 20631750 21457020 26821275 27509000 28609360 33010800 35761700 41263500 42914040 44702125 53642550 55018000 71523400 82527000 85828080 89404250 107285100 134106375 143046800 165054000 178808500 214570200 268212750 357617000 429140400 536425500 715234000 1072851000 2145702000