Search a number
-
+
2146483800 = 233452132499
BaseRepresentation
bin111111111110000…
…1011111001011000
312112120222200020000
41333330023321120
513343444440200
6552554333000
7104122545156
oct17774137130
95476880200
102146483800
11a016a805a
124baa2a160
13282914976
1416510a3d6
15c869a300
hex7ff0be58

2146483800 has 120 divisors (see below), whose sum is σ = 7455112500. Its totient is φ = 572391360.

The previous prime is 2146483793. The next prime is 2146483811. The reversal of 2146483800 is 83846412.

2146483800 is a `hidden beast` number, since 2 + 1 + 4 + 648 + 3 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 50050 + ... + 82449.

Almost surely, 22146483800 is an apocalyptic number.

2146483800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146483800 is an abundant number, since it is smaller than the sum of its proper divisors (5308628700).

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

2146483800 is a wasteful number, since it uses less digits than its factorization.

2146483800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132527 (or 132509 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2146483800 is about 46330.1608026564. The cubic root of 2146483800 is about 1289.9588953912.

The spelling of 2146483800 in words is "two billion, one hundred forty-six million, four hundred eighty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 132499 264998 397497 529996 662495 794994 1059992 1192491 1324990 1589988 1987485 2384982 2649980 3179976 3312475 3577473 3974970 4769964 5299960 5962455 6624950 7154946 7949940 9539928 9937425 10732419 11924910 13249900 14309892 15899880 17887365 19874850 21464838 23849820 26499800 28619784 29812275 35774730 39749700 42929676 47699640 53662095 59624550 71549460 79499400 85859352 89436825 107324190 119249100 143098920 178873650 214648380 238498200 268310475 357747300 429296760 536620950 715494600 1073241900 2146483800