Search a number
-
+
2136714000 = 24353477577
BaseRepresentation
bin111111101011011…
…1010101100010000
312111220121022120120
41333112322230100
513333444322000
6552005110240
7103643524611
oct17726725420
95456538516
102136714000
119a7134943
124b76b8380
132808a3b15
14163ac5c08
15c78ba6a0
hex7f5bab10

2136714000 has 160 divisors (see below), whose sum is σ = 7036263936. Its totient is φ = 557593600.

The previous prime is 2136713981. The next prime is 2136714017. The reversal of 2136714000 is 4176312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278212 + ... + 285788.

Almost surely, 22136714000 is an apocalyptic number.

2136714000 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 2136714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518131968).

2136714000 is an abundant number, since it is smaller than the sum of its proper divisors (4899549936).

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

2136714000 is a wasteful number, since it uses less digits than its factorization.

2136714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2136714000 is about 46224.6038382159. The cubic root of 2136714000 is about 1287.9988201319.

The spelling of 2136714000 in words is "two billion, one hundred thirty-six million, seven hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 7577 9400 11280 11750 14100 15154 17625 18800 22731 23500 28200 30308 35250 37885 45462 47000 56400 60616 70500 75770 90924 94000 113655 121232 141000 151540 181848 189425 227310 282000 303080 356119 363696 378850 454620 568275 606160 712238 757700 909240 947125 1068357 1136550 1424476 1515400 1780595 1818480 1894250 2136714 2273100 2841375 2848952 3030800 3561190 3788500 4273428 4546200 5341785 5682750 5697904 7122380 7577000 8546856 8902975 9092400 10683570 11365500 14244760 15154000 17093712 17805950 21367140 22731000 26708925 28489520 35611900 42734280 44514875 45462000 53417850 71223800 85468560 89029750 106835700 133544625 142447600 178059500 213671400 267089250 356119000 427342800 534178500 712238000 1068357000 2136714000