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136088040 = 233511131787
BaseRepresentation
bin10000001110010…
…00100111101000
3100111001222200210
420013020213220
5234314304130
621300501120
73241505064
oct1007104750
9314058623
10136088040
116a8aaa60
12396aa7a0
132226a88a
1414106aa4
15be325b0
hex81c89e8

136088040 has 128 divisors (see below), whose sum is σ = 449349120. Its totient is φ = 32697600.

The previous prime is 136088023. The next prime is 136088041. The reversal of 136088040 is 40880631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136087989 and 136088007.

It is not an unprimeable number, because it can be changed into a prime (136088041) 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 31 ways as a sum of consecutive naturals, for example, 172527 + ... + 173313.

It is an arithmetic number, because the mean of its divisors is an integer number (3510540).

Almost surely, 2136088040 is an apocalyptic number.

136088040 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 136088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224674560).

136088040 is an abundant number, since it is smaller than the sum of its proper divisors (313261080).

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

136088040 is a wasteful number, since it uses less digits than its factorization.

136088040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 136088040 is about 11665.6778628591. The cubic root of 136088040 is about 514.3672626417.

The spelling of 136088040 in words is "one hundred thirty-six million, eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 131 132 165 220 262 264 330 393 440 524 655 660 786 787 1048 1310 1320 1441 1572 1574 1965 2361 2620 2882 3144 3148 3930 3935 4323 4722 5240 5764 6296 7205 7860 7870 8646 8657 9444 11528 11805 14410 15720 15740 17292 17314 18888 21615 23610 25971 28820 31480 34584 34628 43230 43285 47220 51942 57640 69256 86460 86570 94440 103097 103884 129855 172920 173140 206194 207768 259710 309291 346280 412388 515485 519420 618582 824776 1030970 1038840 1134067 1237164 1546455 2061940 2268134 2474328 3092910 3402201 4123880 4536268 5670335 6185820 6804402 9072536 11340670 12371640 13608804 17011005 22681340 27217608 34022010 45362680 68044020 136088040