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136874760 = 233511971069
BaseRepresentation
bin10000010100010…
…00101100001000
3100112112221212120
420022020230020
5240014443020
621325411240
73251262531
oct1012105410
9315487776
10136874760
1170298040
1239a09b20
13224849a9
141426d688
15c03a740
hex8288b08

136874760 has 128 divisors (see below), whose sum is σ = 452995200. Its totient is φ = 32808960.

The previous prime is 136874747. The next prime is 136874761. The reversal of 136874760 is 67478631.

It is not an unprimeable number, because it can be changed into a prime (136874761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127506 + ... + 128574.

It is an arithmetic number, because the mean of its divisors is an integer number (3539025).

Almost surely, 2136874760 is an apocalyptic number.

136874760 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 136874760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226497600).

136874760 is an abundant number, since it is smaller than the sum of its proper divisors (316120440).

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

136874760 is a wasteful number, since it uses less digits than its factorization.

136874760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 136874760 is about 11699.3486998209. The cubic root of 136874760 is about 515.3565382286.

The spelling of 136874760 in words is "one hundred thirty-six million, eight hundred seventy-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 120 132 165 194 220 264 291 330 388 440 485 582 660 776 970 1067 1069 1164 1320 1455 1940 2134 2138 2328 2910 3201 3207 3880 4268 4276 5335 5345 5820 6402 6414 8536 8552 10670 10690 11640 11759 12804 12828 16005 16035 21340 21380 23518 25608 25656 32010 32070 35277 42680 42760 47036 58795 64020 64140 70554 94072 103693 117590 128040 128280 141108 176385 207386 235180 282216 311079 352770 414772 470360 518465 622158 705540 829544 1036930 1140623 1244316 1411080 1555395 2073860 2281246 2488632 3110790 3421869 4147720 4562492 5703115 6221580 6843738 9124984 11406230 12443160 13687476 17109345 22812460 27374952 34218690 45624920 68437380 136874760