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134029392 = 24373710781
BaseRepresentation
bin1111111110100…
…10000001010000
3100100012101202120
413333102001100
5233302420032
621144414240
73215142150
oct777220120
9310171676
10134029392
11697242a2
1238a77380
13219c9843
1413b2c760
15bb7762c
hex7fd2050

134029392 has 80 divisors (see below), whose sum is σ = 406438272. Its totient is φ = 37255680.

The previous prime is 134029391. The next prime is 134029433. The reversal of 134029392 is 293920431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134029391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7042 + ... + 17822.

Almost surely, 2134029392 is an apocalyptic number.

134029392 is a gapful number since it is divisible by the number (12) 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 134029392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203219136).

134029392 is an abundant number, since it is smaller than the sum of its proper divisors (272408880).

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

134029392 is a wasteful number, since it uses less digits than its factorization.

134029392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 134029392 is about 11577.1063742198. The cubic root of 134029392 is about 511.7604062900.

It can be divided in two parts, 134029 and 392, that added together give a triangular number (134421 = T518).

The spelling of 134029392 in words is "one hundred thirty-four million, twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 10781 12432 21562 32343 43124 64686 75467 86248 129372 150934 172496 226401 258744 301868 398897 452802 517488 603736 797794 905604 1196691 1207472 1595588 1811208 2393382 2792279 3191176 3622416 4786764 5584558 6382352 8376837 9573528 11169116 16753674 19147056 22338232 33507348 44676464 67014696 134029392