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2135283930 = 2345131991019
BaseRepresentation
bin111111101000101…
…1101100011011010
312111210220122220000
41333101131203122
513333113041210
6551514313430
7103625420403
oct17721354332
95453818800
102135283930
119a634846a
124b7128876
132804c2c20
141638329aa
15c76d6ac0
hex7f45d8da

2135283930 has 160 divisors (see below), whose sum is σ = 6220368000. Its totient is φ = 522453888.

The previous prime is 2135283923. The next prime is 2135283947. The reversal of 2135283930 is 393825312.

2135283930 is a `hidden beast` number, since 213 + 52 + 8 + 393 + 0 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2094961 + ... + 2095979.

It is an arithmetic number, because the mean of its divisors is an integer number (38877300).

Almost surely, 22135283930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135283930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110184000).

2135283930 is an abundant number, since it is smaller than the sum of its proper divisors (4085084070).

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

2135283930 is a wasteful number, since it uses less digits than its factorization.

2135283930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2135283930 is about 46209.1325389257. The cubic root of 2135283930 is about 1287.7114100323.

The spelling of 2135283930 in words is "two billion, one hundred thirty-five million, two hundred eighty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 199 234 270 351 390 398 405 585 597 702 810 995 1019 1053 1170 1194 1755 1791 1990 2038 2106 2587 2985 3057 3510 3582 5095 5174 5265 5373 5970 6114 7761 8955 9171 10190 10530 10746 12935 13247 15285 15522 16119 17910 18342 23283 25870 26494 26865 27513 30570 32238 38805 39741 45855 46566 53730 55026 66235 69849 77610 79482 80595 82539 91710 116415 119223 132470 137565 139698 161190 165078 198705 202781 209547 232830 238446 275130 349245 357669 397410 405562 412695 419094 596115 608343 698490 715338 825390 1013905 1047735 1073007 1192230 1216686 1788345 1825029 2027810 2095470 2146014 2636153 3041715 3576690 3650058 5272306 5365035 5475087 6083430 7908459 9125145 10730070 10950174 13180765 15816918 16425261 18250290 23725377 26361530 27375435 32850522 39542295 47450754 54750870 71176131 79084590 82126305 118626885 142352262 164252610 213528393 237253770 355880655 427056786 711761310 1067641965 2135283930