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136789632 = 2732716963
BaseRepresentation
bin10000010011100…
…11111010000000
3100112101122002200
420021303322000
5240004232012
621323513200
73250456410
oct1011637200
9315348080
10136789632
117023a091
1239988800
1322455015
141424a640
15c0203dc
hex8273e80

136789632 has 96 divisors (see below), whose sum is σ = 449885280. Its totient is φ = 39080448.

The previous prime is 136789619. The next prime is 136789637. The reversal of 136789632 is 236987631.

136789632 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 8 + 9 + 632 = 666.

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

It is a super-2 number, since 2×1367896322 = 37422806845390848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136789637) 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, 418 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (4686305).

Almost surely, 2136789632 is an apocalyptic number.

136789632 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 136789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224942640).

136789632 is an abundant number, since it is smaller than the sum of its proper divisors (313095648).

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

136789632 is a wasteful number, since it uses less digits than its factorization.

136789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16990 (or 16975 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 136789632 is about 11695.7099827244. The cubic root of 136789632 is about 515.2496756494.

The spelling of 136789632 in words is "one hundred thirty-six million, seven hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 16963 33926 50889 67852 101778 118741 135704 152667 203556 237482 271408 305334 356223 407112 474964 542816 610668 712446 814224 949928 1068669 1085632 1221336 1424892 1628448 1899856 2137338 2171264 2442672 2849784 3256896 3799712 4274676 4885344 5699568 6513792 7599424 8549352 9770688 11399136 15198848 17098704 19541376 22798272 34197408 45596544 68394816 136789632