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134106896 = 24711199547
BaseRepresentation
bin1111111111001…
…00111100010000
3100100100100002002
413333210330100
5233312410041
621150213132
73215614130
oct777447420
9310310062
10134106896
1169777550
1238ab41a8
1321a25bc1
1413b4cac0
15bb9059b
hex7fe4f10

134106896 has 80 divisors (see below), whose sum is σ = 326169600. Its totient is φ = 51891840.

The previous prime is 134106893. The next prime is 134106901. The reversal of 134106896 is 698601431.

It is not an unprimeable number, because it can be changed into a prime (134106893) 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, 244895 + ... + 245441.

It is an arithmetic number, because the mean of its divisors is an integer number (4077120).

Almost surely, 2134106896 is an apocalyptic number.

134106896 is a gapful number since it is divisible by the number (16) 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 134106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163084800).

134106896 is an abundant number, since it is smaller than the sum of its proper divisors (192062704).

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

134106896 is a wasteful number, since it uses less digits than its factorization.

134106896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 134106896 is about 11580.4531862963. The cubic root of 134106896 is about 511.8590310148.

The spelling of 134106896 in words is "one hundred thirty-four million, one hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 199 308 398 547 616 796 1094 1232 1393 1592 2188 2189 2786 3184 3829 4376 4378 5572 6017 7658 8752 8756 11144 12034 15316 15323 17512 22288 24068 30632 30646 35024 42119 48136 61264 61292 84238 96272 108853 122584 168476 217706 245168 336952 435412 673904 761971 870824 1197383 1523942 1741648 2394766 3047884 4789532 6095768 8381681 9579064 12191536 16763362 19158128 33526724 67053448 134106896