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134217696 = 2532389683
BaseRepresentation
bin1111111111111…
…11111111100000
3100100112222001210
413333333333200
5233324431241
621152430120
73216555144
oct777777740
9310488053
10134217696
1169842818
1238b48340
1321a64472
1413b7b224
15bbb3316
hex7ffffe0

134217696 has 96 divisors (see below), whose sum is σ = 372314880. Its totient is φ = 42251264.

The previous prime is 134217689. The next prime is 134217757. The reversal of 134217696 is 696712431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

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, 196171 + ... + 196853.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2134217696 is an apocalyptic number.

134217696 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 134217696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

134217696 is an abundant number, since it is smaller than the sum of its proper divisors (238097184).

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

134217696 is a wasteful number, since it uses less digits than its factorization.

134217696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 134217696 is about 11585.2361218924. The cubic root of 134217696 is about 511.9999593099. Note that the first 4 decimals are identical.

The spelling of 134217696 in words is "one hundred thirty-four million, two hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 89 92 96 138 178 184 267 276 356 368 534 552 683 712 736 1068 1104 1366 1424 2047 2049 2136 2208 2732 2848 4094 4098 4272 5464 6141 8188 8196 8544 10928 12282 15709 16376 16392 21856 24564 31418 32752 32784 47127 49128 60787 62836 65504 65568 94254 98256 121574 125672 182361 188508 196512 243148 251344 364722 377016 486296 502688 729444 754032 972592 1398101 1458888 1508064 1945184 2796202 2917776 4194303 5592404 5835552 8388606 11184808 16777212 22369616 33554424 44739232 67108848 134217696