Search a number
-
+
134502400 = 211523771
BaseRepresentation
bin10000000010001…
…01100000000000
3100101002102121101
420001011200000
5233413034100
621202504144
73222152164
oct1001054000
9311072541
10134502400
1169a1770a
1239065054
1321b33c26
1413c12ca4
15bc1c86a
hex8045800

134502400 has 144 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 51609600.

The previous prime is 134502383. The next prime is 134502451. The reversal of 134502400 is 4205431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1894365 + ... + 1894435.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2134502400 is an apocalyptic number.

134502400 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 134502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

134502400 is an abundant number, since it is smaller than the sum of its proper divisors (212819120).

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

134502400 is an equidigital number, since it uses as much as digits as its factorization.

134502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 134502400 is about 11597.5169756289. The cubic root of 134502400 is about 512.3617235519.

Adding to 134502400 its reverse (4205431), we get a palindrome (138707831).

The spelling of 134502400 in words is "one hundred thirty-four million, five hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 71 74 80 100 128 142 148 160 185 200 256 284 296 320 355 370 400 512 568 592 640 710 740 800 925 1024 1136 1184 1280 1420 1480 1600 1775 1850 2048 2272 2368 2560 2627 2840 2960 3200 3550 3700 4544 4736 5120 5254 5680 5920 6400 7100 7400 9088 9472 10240 10508 11360 11840 12800 13135 14200 14800 18176 18944 21016 22720 23680 25600 26270 28400 29600 36352 37888 42032 45440 47360 51200 52540 56800 59200 65675 72704 75776 84064 90880 94720 105080 113600 118400 131350 145408 168128 181760 189440 210160 227200 236800 262700 336256 363520 378880 420320 454400 473600 525400 672512 727040 840640 908800 947200 1050800 1345024 1681280 1817600 1894400 2101600 2690048 3362560 3635200 4203200 5380096 6725120 8406400 13450240 16812800 26900480 33625600 67251200 134502400