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1706134000 = 24536831249
BaseRepresentation
bin110010110110001…
…1000100111110000
311101220101120212011
41211230120213300
511443232242000
6441144212304
760164620414
oct14554304760
94356346764
101706134000
117a60827aa
123b746a094
1321261655c
14122840d44
159ebb62ba
hex65b189f0

1706134000 has 80 divisors (see below), whose sum is σ = 4134780000. Its totient is φ = 680908800.

The previous prime is 1706133983. The next prime is 1706134033. The reversal of 1706134000 is 4316071.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365376 + ... + 1366624.

It is an arithmetic number, because the mean of its divisors is an integer number (51684750).

Almost surely, 21706134000 is an apocalyptic number.

1706134000 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 1706134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390000).

1706134000 is an abundant number, since it is smaller than the sum of its proper divisors (2428646000).

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

1706134000 is a wasteful number, since it uses less digits than its factorization.

1706134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1706134000 is about 41305.3749529041. The cubic root of 1706134000 is about 1194.9169249509.

The spelling of 1706134000 in words is "one billion, seven hundred six million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 683 1000 1249 1366 2000 2498 2732 3415 4996 5464 6245 6830 9992 10928 12490 13660 17075 19984 24980 27320 31225 34150 49960 54640 62450 68300 85375 99920 124900 136600 156125 170750 249800 273200 312250 341500 499600 624500 683000 853067 1249000 1366000 1706134 2498000 3412268 4265335 6824536 8530670 13649072 17061340 21326675 34122680 42653350 68245360 85306700 106633375 170613400 213266750 341226800 426533500 853067000 1706134000