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136049220 = 22345137613
BaseRepresentation
bin10000001101111…
…11001001000100
3100111000000110000
420012333021010
5234312033340
621300001300
73241253646
oct1006771104
9314000400
10136049220
116a88387a
1239690230
1322255cc8
14140d6896
15be25d30
hex81bf244

136049220 has 120 divisors (see below), whose sum is σ = 430608024. Its totient is φ = 35956224.

The previous prime is 136049203. The next prime is 136049231. The reversal of 136049220 is 22940631.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 136048896 = 18^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221634 + ... + 222246.

It is the magic constant of a 648 × 648 magic square.

Almost surely, 2136049220 is an apocalyptic number.

136049220 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 136049220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215304012).

136049220 is an abundant number, since it is smaller than the sum of its proper divisors (294558804).

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

136049220 is a wasteful number, since it uses less digits than its factorization.

136049220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136049220 is about 11664.0138888806. The cubic root of 136049220 is about 514.3183491195.

Adding to 136049220 its reverse (22940631), we get a palindrome (158989851).

The spelling of 136049220 in words is "one hundred thirty-six million, forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 137 162 180 270 274 324 405 411 540 548 613 685 810 822 1226 1233 1370 1620 1644 1839 2055 2452 2466 2740 3065 3678 3699 4110 4932 5517 6130 6165 7356 7398 8220 9195 11034 11097 12260 12330 14796 16551 18390 18495 22068 22194 24660 27585 33102 36780 36990 44388 49653 55170 55485 66204 73980 82755 83981 99306 110340 110970 165510 167962 198612 221940 248265 251943 331020 335924 419905 496530 503886 755829 839810 993060 1007772 1259715 1511658 1679620 2267487 2519430 3023316 3779145 4534974 5038860 6802461 7558290 9069948 11337435 13604922 15116580 22674870 27209844 34012305 45349740 68024610 136049220