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136288880 = 24571397193
BaseRepresentation
bin10000001111110…
…01101001110000
3100111110012012022
420013321221300
5234342221010
621305051012
73243302450
oct1007715160
9314405168
10136288880
116aa27942
1239786a68
132230b110
1414159d60
15be71d55
hex81f9a70

136288880 has 160 divisors (see below), whose sum is σ = 396057984. Its totient is φ = 42467328.

The previous prime is 136288877. The next prime is 136288937. The reversal of 136288880 is 88882631.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 706064 + ... + 706256.

Almost surely, 2136288880 is an apocalyptic number.

136288880 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 136288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198028992).

136288880 is an abundant number, since it is smaller than the sum of its proper divisors (259769104).

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

136288880 is a wasteful number, since it uses less digits than its factorization.

136288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 136288880 is about 11674.2828473530. The cubic root of 136288880 is about 514.6201742689.

The spelling of 136288880 in words is "one hundred thirty-six million, two hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 97 104 112 130 140 182 193 194 208 260 280 364 386 388 455 485 520 560 679 728 772 776 910 965 970 1040 1261 1351 1358 1456 1544 1552 1820 1930 1940 2509 2522 2702 2716 3088 3395 3640 3860 3880 5018 5044 5404 5432 6305 6755 6790 7280 7720 7760 8827 10036 10088 10808 10864 12545 12610 13510 13580 15440 17563 17654 18721 20072 20176 21616 25090 25220 27020 27160 35126 35308 37442 40144 44135 50180 50440 54040 54320 70252 70616 74884 87815 88270 93605 100360 100880 108080 131047 140504 141232 149768 175630 176540 187210 200720 243373 262094 281008 299536 351260 353080 374420 486746 524188 655235 702520 706160 748840 973492 1048376 1216865 1310470 1405040 1497680 1703611 1946984 2096752 2433730 2620940 3407222 3893968 4867460 5241880 6814444 8518055 9734920 10483760 13628888 17036110 19469840 27257776 34072220 68144440 136288880