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136506048 = 2637472161
BaseRepresentation
bin10000010001011…
…10101011000000
3100111212020002120
420020232223000
5234421143143
621313444240
73245165550
oct1010565300
9314766076
10136506048
1170066018
1239870680
1322385c13
14141b5160
15beb6383
hex822eac0

136506048 has 112 divisors (see below), whose sum is σ = 421745664. Its totient is φ = 38154240.

The previous prime is 136506047. The next prime is 136506049. The reversal of 136506048 is 840605631.

It is an interprime number because it is at equal distance from previous prime (136506047) and next prime (136506049).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1365060482 = 37267802281156608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136506043) 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, 62088 + ... + 64248.

Almost surely, 2136506048 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 136506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210872832).

136506048 is an abundant number, since it is smaller than the sum of its proper divisors (285239616).

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

136506048 is a wasteful number, since it uses less digits than its factorization.

136506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 136506048 is about 11683.5802731868. The cubic root of 136506048 is about 514.8933678121.

The spelling of 136506048 in words is "one hundred thirty-six million, five hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2161 2256 2632 3008 3948 4322 4512 5264 6483 7896 8644 9024 10528 12966 15127 15792 17288 21056 25932 30254 31584 34576 45381 51864 60508 63168 69152 90762 101567 103728 121016 138304 181524 203134 207456 242032 304701 363048 406268 414912 484064 609402 710969 726096 812536 968128 1218804 1421938 1452192 1625072 2132907 2437608 2843876 2904384 3250144 4265814 4875216 5687752 6500288 8531628 9750432 11375504 17063256 19500864 22751008 34126512 45502016 68253024 136506048