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136423320 = 233511181571
BaseRepresentation
bin10000010000110…
…10011110011000
3100111201000121120
420020122132120
5234411021240
621312005240
73244402425
oct1010323630
9314630546
10136423320
1170009950
1239830820
1322357377
1414192d4c
15be9bad0
hex821a798

136423320 has 128 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 32832000.

The previous prime is 136423307. The next prime is 136423333. The reversal of 136423320 is 23324631.

It is an interprime number because it is at equal distance from previous prime (136423307) and next prime (136423333).

It is a super-2 number, since 2×1364233202 = 37222644479644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 238635 + ... + 239205.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2136423320 is an apocalyptic number.

136423320 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 136423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

136423320 is an abundant number, since it is smaller than the sum of its proper divisors (313305960).

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

136423320 is a wasteful number, since it uses less digits than its factorization.

136423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 136423320 is about 11680.0393834952. The cubic root of 136423320 is about 514.7893316247.

Adding to 136423320 its reverse (23324631), we get a palindrome (159747951).

The spelling of 136423320 in words is "one hundred thirty-six million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 181 220 264 330 362 440 543 571 660 724 905 1086 1142 1320 1448 1713 1810 1991 2172 2284 2715 2855 3426 3620 3982 4344 4568 5430 5710 5973 6281 6852 7240 7964 8565 9955 10860 11420 11946 12562 13704 15928 17130 18843 19910 21720 22840 23892 25124 29865 31405 34260 37686 39820 47784 50248 59730 62810 68520 75372 79640 94215 103351 119460 125620 150744 188430 206702 238920 251240 310053 376860 413404 516755 620106 753720 826808 1033510 1136861 1240212 1550265 2067020 2273722 2480424 3100530 3410583 4134040 4547444 5684305 6201060 6821166 9094888 11368610 12402120 13642332 17052915 22737220 27284664 34105830 45474440 68211660 136423320