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134230800 = 243521110169
BaseRepresentation
bin10000000000000…
…11001100010000
3100100120122001010
420000003030100
5233330341200
621153010520
73216641304
oct1000031420
9310518033
10134230800
1169851650
1238b53a40
1321a6a412
1413b81d04
15bbb7150
hex8003310

134230800 has 120 divisors (see below), whose sum is σ = 469121760. Its totient is φ = 32537600.

The previous prime is 134230799. The next prime is 134230813. The reversal of 134230800 is 8032431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 8116 + ... + 18284.

It is an arithmetic number, because the mean of its divisors is an integer number (3909348).

Almost surely, 2134230800 is an apocalyptic number.

134230800 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 134230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234560880).

134230800 is an abundant number, since it is smaller than the sum of its proper divisors (334890960).

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

134230800 is a wasteful number, since it uses less digits than its factorization.

134230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 134230800 is about 11585.8016554747. The cubic root of 134230800 is about 512.0166213680.

The spelling of 134230800 in words is "one hundred thirty-four million, two hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 10169 13200 20338 30507 40676 50845 61014 81352 101690 111859 122028 152535 162704 203380 223718 244056 254225 305070 335577 406760 447436 488112 508450 559295 610140 671154 762675 813520 894872 1016900 1118590 1220280 1342308 1525350 1677885 1789744 2033800 2237180 2440560 2684616 2796475 3050700 3355770 4067600 4474360 5369232 5592950 6101400 6711540 8389425 8948720 11185900 12202800 13423080 16778850 22371800 26846160 33557700 44743600 67115400 134230800