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134106084 = 22337179991
BaseRepresentation
bin1111111111001…
…00101111100100
3100100100021222000
413333210233210
5233312343314
621150205300
73215611560
oct777445744
9310307860
10134106084
1169776982
1238ab3830
1321a25718
1413b4c6a0
15bb90209
hex7fe4be4

134106084 has 96 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 38063520.

The previous prime is 134106043. The next prime is 134106107. The reversal of 134106084 is 480601431.

134106084 is a `hidden beast` number, since 13 + 41 + 0 + 608 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134829 + ... + 135819.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2134106084 is an apocalyptic number.

134106084 is a gapful number since it is divisible by the number (14) 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 134106084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

134106084 is an abundant number, since it is smaller than the sum of its proper divisors (265868316).

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

134106084 is a wasteful number, since it uses less digits than its factorization.

134106084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 134106084 is about 11580.4181271662. The cubic root of 134106084 is about 511.8579979325.

The spelling of 134106084 in words is "one hundred thirty-four million, one hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 179 189 252 358 378 537 716 756 991 1074 1253 1611 1982 2148 2506 2973 3222 3759 3964 4833 5012 5946 6444 6937 7518 8919 9666 11277 11892 13874 15036 17838 19332 20811 22554 26757 27748 33831 35676 41622 45108 53514 62433 67662 83244 107028 124866 135324 177389 187299 249732 354778 374598 532167 709556 749196 1064334 1241723 1596501 2128668 2483446 3193002 3725169 4789503 4966892 6386004 7450338 9579006 11175507 14900676 19158012 22351014 33526521 44702028 67053042 134106084