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134606000 = 24531737107
BaseRepresentation
bin10000000010111…
…10110010110000
3100101021200201102
420001132302300
5233424343000
621205023532
73223063214
oct1001366260
9311250642
10134606000
1169a88531
12390b4ba8
1321b6c129
1413c3c944
15bc3d3d5
hex805ecb0

134606000 has 160 divisors (see below), whose sum is σ = 357244992. Its totient is φ = 48844800.

The previous prime is 134605987. The next prime is 134606009. The reversal of 134606000 is 606431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134606009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257947 + ... + 1258053.

Almost surely, 2134606000 is an apocalyptic number.

134606000 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 134606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178622496).

134606000 is an abundant number, since it is smaller than the sum of its proper divisors (222638992).

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

134606000 is a wasteful number, since it uses less digits than its factorization.

134606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 134606000 is about 11601.9825891957. The cubic root of 134606000 is about 512.4932380627.

The spelling of 134606000 in words is "one hundred thirty-four million, six hundred six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 37 40 50 68 74 80 85 100 107 125 136 148 170 185 200 214 250 272 296 340 370 400 425 428 500 535 592 629 680 740 850 856 925 1000 1070 1258 1360 1480 1700 1712 1819 1850 2000 2125 2140 2516 2675 2960 3145 3400 3638 3700 3959 4250 4280 4625 5032 5350 6290 6800 7276 7400 7918 8500 8560 9095 9250 10064 10700 12580 13375 14552 14800 15725 15836 17000 18190 18500 19795 21400 25160 26750 29104 31450 31672 34000 36380 37000 39590 42800 45475 50320 53500 62900 63344 67303 72760 74000 78625 79180 90950 98975 107000 125800 134606 145520 157250 158360 181900 197950 214000 227375 251600 269212 314500 316720 336515 363800 395900 454750 494875 538424 629000 673030 727600 791800 909500 989750 1076848 1258000 1346060 1583600 1682575 1819000 1979500 2692120 3365150 3638000 3959000 5384240 6730300 7918000 8412875 13460600 16825750 26921200 33651500 67303000 134606000