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134024000 = 2653111523
BaseRepresentation
bin1111111110100…
…00101101000000
3100100012010100212
413333100231000
5233302232000
621144333252
73215120345
oct777205500
9310163325
10134024000
1169720240
1238a74228
13219c7256
1413b2a7cc
15bb75c35
hex7fd0b40

134024000 has 112 divisors (see below), whose sum is σ = 362321856. Its totient is φ = 48704000.

The previous prime is 134023997. The next prime is 134024003. The reversal of 134024000 is 420431.

It is an interprime number because it is at equal distance from previous prime (134023997) and next prime (134024003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134024003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87239 + ... + 88761.

Almost surely, 2134024000 is an apocalyptic number.

134024000 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 134024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181160928).

134024000 is an abundant number, since it is smaller than the sum of its proper divisors (228297856).

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

134024000 is a wasteful number, since it uses less digits than its factorization.

134024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 134024000 is about 11576.8734984883. The cubic root of 134024000 is about 511.7535434940.

Adding to 134024000 its reverse (420431), we get a palindrome (134444431).

The spelling of 134024000 in words is "one hundred thirty-four million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1523 1600 1760 2000 2200 2750 3046 3520 4000 4400 5500 6092 7615 8000 8800 11000 12184 15230 16753 17600 22000 24368 30460 33506 38075 44000 48736 60920 67012 76150 83765 88000 97472 121840 134024 152300 167530 190375 243680 268048 304600 335060 380750 418825 487360 536096 609200 670120 761500 837650 1072192 1218400 1340240 1523000 1675300 2094125 2436800 2680480 3046000 3350600 4188250 5360960 6092000 6701200 8376500 12184000 13402400 16753000 26804800 33506000 67012000 134024000