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134400420 = 223257119697
BaseRepresentation
bin10000000001011…
…00100110100100
3100100220020201100
420000230212210
5233401303140
621200400100
73221245650
oct1000544644
9310806640
10134400420
1169958030
1239016030
1321ac969b
1413bc7a60
15bbec530
hex802c9a4

134400420 has 144 divisors (see below), whose sum is σ = 508330368. Its totient is φ = 27924480.

The previous prime is 134400403. The next prime is 134400439. The reversal of 134400420 is 24004431.

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 = 134400393 and 134400402.

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, 9012 + ... + 18708.

It is an arithmetic number, because the mean of its divisors is an integer number (3530072).

Almost surely, 2134400420 is an apocalyptic number.

134400420 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 134400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254165184).

134400420 is an abundant number, since it is smaller than the sum of its proper divisors (373929948).

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

134400420 is a wasteful number, since it uses less digits than its factorization.

134400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9730 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134400420 is about 11593.1195111583. The cubic root of 134400420 is about 512.2321995691.

Adding to 134400420 its reverse (24004431), we get a palindrome (158404851).

The spelling of 134400420 in words is "one hundred thirty-four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 9697 13860 19394 29091 38788 48485 58182 67879 87273 96970 106667 116364 135758 145455 174546 193940 203637 213334 271516 290910 320001 339395 349092 407274 426668 436365 533335 581820 610911 640002 678790 746669 814548 872730 960003 1018185 1066670 1221822 1280004 1357580 1493338 1600005 1745460 1920006 2036370 2133340 2240007 2443644 2986676 3054555 3200010 3733345 3840012 4072740 4480014 4800015 6109110 6400020 6720021 7466690 8960028 9600030 11200035 12218220 13440042 14933380 19200060 22400070 26880084 33600105 44800140 67200210 134400420