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134352420 = 223519671759
BaseRepresentation
bin10000000001000…
…00111000100100
3100100210210212120
420000200320210
5233343234140
621155345540
73220656006
oct1000407044
9310723776
10134352420
1169924a64
1238bb22b0
1321ab0897
1413bb4376
15bbdd1d0
hex8020e24

134352420 has 96 divisors (see below), whose sum is σ = 402124800. Its totient is φ = 33416064.

The previous prime is 134352397. The next prime is 134352437. The reversal of 134352420 is 24253431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75501 + ... + 77259.

It is an arithmetic number, because the mean of its divisors is an integer number (4188800).

Almost surely, 2134352420 is an apocalyptic number.

134352420 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 134352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201062400).

134352420 is an abundant number, since it is smaller than the sum of its proper divisors (267772380).

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

134352420 is a wasteful number, since it uses less digits than its factorization.

134352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 134352420 is about 11591.0491328438. The cubic root of 134352420 is about 512.1712124750.

The spelling of 134352420 in words is "one hundred thirty-four million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 1759 2010 2546 3518 3819 4020 5092 5277 6365 7036 7638 8795 10554 12730 15276 17590 19095 21108 25460 26385 33421 35180 38190 52770 66842 76380 100263 105540 117853 133684 167105 200526 235706 334210 353559 401052 471412 501315 589265 668420 707118 1002630 1178530 1414236 1767795 2005260 2239207 2357060 3535590 4478414 6717621 7071180 8956828 11196035 13435242 22392070 26870484 33588105 44784140 67176210 134352420