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136100448 = 25321142961
BaseRepresentation
bin10000001110010…
…11101001100000
3100111002121201100
420013023221200
5234320203243
621301034400
73241556211
oct1007135140
9314077640
10136100448
116a909310
12396b5a00
1322273413
141410b408
15be360d3
hex81cba60

136100448 has 72 divisors (see below), whose sum is σ = 422230536. Its totient is φ = 41241600.

The previous prime is 136100441. The next prime is 136100473. The reversal of 136100448 is 844001631.

136100448 is a `hidden beast` number, since 1 + 3 + 610 + 0 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136100441) 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 11 ways as a sum of consecutive naturals, for example, 18313 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (5864313).

Almost surely, 2136100448 is an apocalyptic number.

136100448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136100448 is an abundant number, since it is smaller than the sum of its proper divisors (286130088).

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

136100448 is a wasteful number, since it uses less digits than its factorization.

136100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42988 (or 42977 counting only the distinct ones).

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

The square root of 136100448 is about 11666.2096672398. The cubic root of 136100448 is about 514.3828948629.

The spelling of 136100448 in words is "one hundred thirty-six million, one hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 42961 85922 128883 171844 257766 343688 386649 472571 515532 687376 773298 945142 1031064 1374752 1417713 1546596 1890284 2062128 2835426 3093192 3780568 4124256 4253139 5670852 6186384 7561136 8506278 11341704 12372768 15122272 17012556 22683408 34025112 45366816 68050224 136100448