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134239320 = 233252811327
BaseRepresentation
bin10000000000001…
…01010001011000
3100100121001201200
420000011101120
5233331124240
621153114200
73220005165
oct1000052130
9310531650
10134239320
1169857a96
1238b58960
1321a71267
1413b8506c
15bbb9930
hex8005458

134239320 has 96 divisors (see below), whose sum is σ = 438160320. Its totient is φ = 35642880.

The previous prime is 134239309. The next prime is 134239349. The reversal of 134239320 is 23932431.

It is a happy number.

It is a nialpdrome in base 15.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 100497 + ... + 101823.

It is an arithmetic number, because the mean of its divisors is an integer number (4564170).

Almost surely, 2134239320 is an apocalyptic number.

134239320 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 134239320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219080160).

134239320 is an abundant number, since it is smaller than the sum of its proper divisors (303921000).

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

134239320 is a wasteful number, since it uses less digits than its factorization.

134239320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134239320 is about 11586.1693410721. The cubic root of 134239320 is about 512.0274541756.

The spelling of 134239320 in words is "one hundred thirty-four million, two hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 562 843 1124 1327 1405 1686 2248 2529 2654 2810 3372 3981 4215 5058 5308 5620 6635 6744 7962 8430 10116 10616 11240 11943 12645 13270 15924 16860 19905 20232 23886 25290 26540 31848 33720 39810 47772 50580 53080 59715 79620 95544 101160 119430 159240 238860 372887 477720 745774 1118661 1491548 1864435 2237322 2983096 3355983 3728870 4474644 5593305 6711966 7457740 8949288 11186610 13423932 14915480 16779915 22373220 26847864 33559830 44746440 67119660 134239320