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134386420 = 22572241569
BaseRepresentation
bin10000000001010…
…01001011110100
3100100212112111211
420000221023310
5233400331140
621200211204
73221160100
oct1000511364
9310775454
10134386420
1169948563
1239009b04
1321ac31bc
1413bc2900
15bbe82ea
hex80292f4

134386420 has 72 divisors (see below), whose sum is σ = 330228360. Its totient is φ = 45803520.

The previous prime is 134386409. The next prime is 134386433. The reversal of 134386420 is 24683431.

It can be written as a sum of positive squares in 4 ways, for example, as 9572836 + 124813584 = 3094^2 + 11172^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235896 + ... + 236464.

It is an arithmetic number, because the mean of its divisors is an integer number (4586505).

Almost surely, 2134386420 is an apocalyptic number.

134386420 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 134386420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165114180).

134386420 is an abundant number, since it is smaller than the sum of its proper divisors (195841940).

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

134386420 is a wasteful number, since it uses less digits than its factorization.

134386420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 134386420 is about 11592.5156890125. The cubic root of 134386420 is about 512.2144131668.

The spelling of 134386420 in words is "one hundred thirty-four million, three hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 241 245 482 490 569 964 980 1138 1205 1687 2276 2410 2845 3374 3983 4820 5690 6748 7966 8435 11380 11809 15932 16870 19915 23618 27881 33740 39830 47236 55762 59045 79660 111524 118090 137129 139405 236180 274258 278810 548516 557620 685645 959903 1371290 1919806 2742580 3839612 4799515 6719321 9599030 13438642 19198060 26877284 33596605 67193210 134386420