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136400320 = 265728699
BaseRepresentation
bin10000010000101…
…00110111000000
3100111122212001201
420020110313000
5234404302240
621311310544
73244245400
oct1010246700
9314585051
10136400320
116aaa3641
123981b454
1322349a64
1414188800
15be94d9a
hex8214dc0

136400320 has 84 divisors (see below), whose sum is σ = 377875800. Its totient is φ = 46760448.

The previous prime is 136400309. The next prime is 136400339. The reversal of 136400320 is 23004631.

It is a super-2 number, since 2×1364003202 = 37210094592204800, which contains 22 as substring.

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, 11331 + ... + 20029.

Almost surely, 2136400320 is an apocalyptic number.

136400320 is a gapful number since it is divisible by the number (10) 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 136400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188937900).

136400320 is an abundant number, since it is smaller than the sum of its proper divisors (241475480).

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

136400320 is an equidigital number, since it uses as much as digits as its factorization.

136400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 136400320 is about 11679.0547562720. The cubic root of 136400320 is about 514.7604000606.

Adding to 136400320 its reverse (23004631), we get a palindrome (159404951).

The spelling of 136400320 in words is "one hundred thirty-six million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 8699 15680 17398 34796 43495 60893 69592 86990 121786 139184 173980 243572 278368 304465 347960 426251 487144 556736 608930 695920 852502 974288 1217860 1391840 1705004 1948576 2131255 2435720 2783680 3410008 3897152 4262510 4871440 6820016 8525020 9742880 13640032 17050040 19485760 27280064 34100080 68200160 136400320