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136090240 = 27511131487
BaseRepresentation
bin10000001110010…
…01001010000000
3100111002002201021
420013021022000
5234314341430
621300515224
73241514356
oct1007111200
9314062637
10136090240
116a901680
12396abb14
132226b890
14141077d6
15be3307a
hex81c9280

136090240 has 128 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 45649920.

The previous prime is 136090237. The next prime is 136090247. The reversal of 136090240 is 42090631.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (136090247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90777 + ... + 92263.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2136090240 is an apocalyptic number.

136090240 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 136090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

136090240 is an abundant number, since it is smaller than the sum of its proper divisors (246385280).

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

136090240 is a wasteful number, since it uses less digits than its factorization.

136090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 136090240 is about 11665.7721561841. The cubic root of 136090240 is about 514.3700343814.

The spelling of 136090240 in words is "one hundred thirty-six million, ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1487 1664 1760 2080 2288 2860 2974 3520 4160 4576 5720 5948 7040 7435 8320 9152 11440 11896 14870 16357 18304 19331 22880 23792 29740 32714 38662 45760 47584 59480 65428 77324 81785 91520 95168 96655 118960 130856 154648 163570 190336 193310 212641 237920 261712 309296 327140 386620 425282 475840 523424 618592 654280 773240 850564 951680 1046848 1063205 1237184 1308560 1546480 1701128 2093696 2126410 2474368 2617120 3092960 3402256 4252820 5234240 6185920 6804512 8505640 10468480 12371840 13609024 17011280 27218048 34022560 68045120 136090240