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134013024 = 25321932411
BaseRepresentation
bin1111111110011…
…10000001100000
3100100011120022100
413333032001200
5233301404044
621144210400
73215043345
oct777160140
9310146270
10134013024
1169712a72
1238a69a00
13219c2262
1413b267cc
15bb72869
hex7fce060

134013024 has 72 divisors (see below), whose sum is σ = 383233032. Its totient is φ = 44421120.

The previous prime is 134012987. The next prime is 134013037. The reversal of 134013024 is 420310431.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 134012988 and 134013006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54379 + ... + 56789.

It is an arithmetic number, because the mean of its divisors is an integer number (5322681).

Almost surely, 2134013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191616516).

134013024 is an abundant number, since it is smaller than the sum of its proper divisors (249220008).

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

134013024 is a wasteful number, since it uses less digits than its factorization.

134013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134013024 is about 11576.3994402405. The cubic root of 134013024 is about 511.7395729608.

Subtracting from 134013024 its sum of digits (18), we obtain a triangular number (134013006 = T16371).

Adding to 134013024 its reverse (420310431), we get a palindrome (554323455).

The spelling of 134013024 in words is "one hundred thirty-four million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1544 1737 2316 2411 3088 3474 4632 4822 6176 6948 7233 9264 9644 13896 14466 18528 19288 21699 27792 28932 38576 43398 55584 57864 77152 86796 115728 173592 231456 347184 465323 694368 930646 1395969 1861292 2791938 3722584 4187907 5583876 7445168 8375814 11167752 14890336 16751628 22335504 33503256 44671008 67006512 134013024