Search a number
-
+
134211420 = 223257293673
BaseRepresentation
bin1111111111111…
…10011101011100
3100100112122110100
413333332131130
5233324231140
621152341100
73216530640
oct777763534
9310478410
10134211420
1169839032
1238b44790
1321a61655
1413b78c20
15bbb1530
hex7ffe75c

134211420 has 144 divisors (see below), whose sum is σ = 481440960. Its totient is φ = 29611008.

The previous prime is 134211419. The next prime is 134211437. The reversal of 134211420 is 24112431.

134211420 = T119 + T120 + ... + T930.

134211420 is a `hidden beast` number, since 1 + 34 + 211 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134211393 and 134211402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34704 + ... + 38376.

It is an arithmetic number, because the mean of its divisors is an integer number (3343340).

Almost surely, 2134211420 is an apocalyptic number.

134211420 is a gapful number since it is divisible by the number (10) 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 134211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240720480).

134211420 is an abundant number, since it is smaller than the sum of its proper divisors (347229540).

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

134211420 is a wasteful number, since it uses less digits than its factorization.

134211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134211420 is about 11584.9652567455. The cubic root of 134211420 is about 511.9919788376.

Adding to 134211420 its reverse (24112431), we get a palindrome (158323851).

It can be divided in two parts, 13421 and 1420, that added together give a palindrome (14841).

The spelling of 134211420 in words is "one hundred thirty-four million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 3673 4060 5220 6090 7308 7346 9135 11019 12180 14692 18270 18365 22038 25711 33057 36540 36730 44076 51422 55095 66114 73460 77133 102844 106517 110190 128555 132228 154266 165285 213034 220380 231399 257110 308532 319551 330570 385665 426068 462798 514220 532585 639102 661140 745619 771330 925596 958653 1065170 1156995 1278204 1491238 1542660 1597755 1917306 2130340 2236857 2313990 2982476 3195510 3728095 3834612 4473714 4627980 4793265 6391020 6710571 7456190 8947428 9586530 11184285 13421142 14912380 19173060 22368570 26842284 33552855 44737140 67105710 134211420