Search a number
-
+
134320736 = 25112347353
BaseRepresentation
bin10000000000110…
…01001001100000
3100100202012102002
420000121021200
5233341230421
621154543132
73220464434
oct1000311140
9310665362
10134320736
1169903180
1238b97aa8
1321a9c334
1413ba69c4
15bbd3b0b
hex8019260

134320736 has 96 divisors (see below), whose sum is σ = 308302848. Its totient is φ = 56995840.

The previous prime is 134320733. The next prime is 134320741. The reversal of 134320736 is 637023431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134320699 and 134320708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134320733) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 380336 + ... + 380688.

It is an arithmetic number, because the mean of its divisors is an integer number (3211488).

Almost surely, 2134320736 is an apocalyptic number.

134320736 is a gapful number since it is divisible by the number (16) 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 134320736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154151424).

134320736 is an abundant number, since it is smaller than the sum of its proper divisors (173982112).

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

134320736 is a wasteful number, since it uses less digits than its factorization.

134320736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 134320736 is about 11589.6823079841. The cubic root of 134320736 is about 512.1309479515.

The spelling of 134320736 in words is "one hundred thirty-four million, three hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 88 92 94 176 184 188 253 352 353 368 376 506 517 706 736 752 1012 1034 1081 1412 1504 2024 2068 2162 2824 3883 4048 4136 4324 5648 7766 8096 8119 8272 8648 11296 11891 15532 16238 16544 16591 17296 23782 31064 32476 33182 34592 47564 62128 64952 66364 89309 95128 124256 129904 132728 178618 182501 190256 259808 265456 357236 365002 380512 381593 530912 714472 730004 763186 1428944 1460008 1526372 2857888 2920016 3052744 4197523 5840032 6105488 8395046 12210976 16790092 33580184 67160368 134320736