Search a number
-
+
134421420 = 223572711181
BaseRepresentation
bin10000000001100…
…01101110101100
3100100221022112010
420000301232230
5233402441140
621201041220
73221364120
oct1000615654
9310838463
10134421420
1169971891
1239026210
1321b06103
1413bd1580
15bc03880
hex8031bac

134421420 has 96 divisors (see below), whose sum is σ = 432101376. Its totient is φ = 30585600.

The previous prime is 134421383. The next prime is 134421439. The reversal of 134421420 is 24124431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113230 + ... + 114410.

It is an arithmetic number, because the mean of its divisors is an integer number (4501056).

Almost surely, 2134421420 is an apocalyptic number.

134421420 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 134421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216050688).

134421420 is an abundant number, since it is smaller than the sum of its proper divisors (297679956).

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

134421420 is a wasteful number, since it uses less digits than its factorization.

134421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 134421420 is about 11594.0251854134. The cubic root of 134421420 is about 512.2588768567.

Adding to 134421420 its reverse (24124431), we get a palindrome (158545851).

The spelling of 134421420 in words is "one hundred thirty-four million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1181 1355 1626 1897 2362 2710 3252 3543 3794 4065 4724 5420 5691 5905 7086 7588 8130 8267 9485 11382 11810 14172 16260 16534 17715 18970 22764 23620 24801 28455 33068 35430 37940 41335 49602 56910 70860 82670 99204 113820 124005 165340 248010 320051 496020 640102 960153 1280204 1600255 1920306 2240357 3200510 3840612 4480714 4800765 6401020 6721071 8961428 9601530 11201785 13442142 19203060 22403570 26884284 33605355 44807140 67210710 134421420