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136170804 = 223721137569
BaseRepresentation
bin10000001110111…
…00110100110100
3100111020012020010
420013130310310
5234324431204
621302340220
73242301300
oct1007346464
9314205203
10136170804
116a957160
123972a670
1322299453
1414128d00
15be4bd89
hex81dcd34

136170804 has 144 divisors (see below), whose sum is σ = 414832320. Its totient is φ = 34352640.

The previous prime is 136170803. The next prime is 136170851. The reversal of 136170804 is 408071631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136170803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239032 + ... + 239600.

It is an arithmetic number, because the mean of its divisors is an integer number (2880780).

Almost surely, 2136170804 is an apocalyptic number.

136170804 is a gapful number since it is divisible by the number (14) 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 136170804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207416160).

136170804 is an abundant number, since it is smaller than the sum of its proper divisors (278661516).

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

136170804 is a wasteful number, since it uses less digits than its factorization.

136170804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 136170804 is about 11669.2246529065. The cubic root of 136170804 is about 514.4715149207.

The spelling of 136170804 in words is "one hundred thirty-six million, one hundred seventy thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 49 66 74 77 84 98 111 132 147 148 154 196 222 231 259 294 308 407 444 462 518 539 569 588 777 814 924 1036 1078 1138 1221 1554 1617 1628 1707 1813 2156 2276 2442 2849 3108 3234 3414 3626 3983 4884 5439 5698 6259 6468 6828 7252 7966 8547 10878 11396 11949 12518 15932 17094 18777 19943 21053 21756 23898 25036 27881 34188 37554 39886 42106 43813 47796 55762 59829 63159 75108 79772 83643 84212 87626 111524 119658 126318 131439 147371 167286 175252 231583 239316 252636 262878 294742 306691 334572 442113 463166 525756 589484 613382 694749 884226 920073 926332 1031597 1226764 1389498 1621081 1768452 1840146 2063194 2778996 3094791 3242162 3680292 4126388 4863243 6189582 6484324 9726486 11347567 12379164 19452972 22695134 34042701 45390268 68085402 136170804