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136311630 = 23573131019
BaseRepresentation
bin10000001111111…
…11001101001110
3100111111100101220
420013333031032
5234343433010
621305344210
73243426000
oct1007771516
9314440356
10136311630
116aa42a44
1239798066
1322318590
1414164370
15be78970
hex81ff34e

136311630 has 128 divisors (see below), whose sum is σ = 411264000. Its totient is φ = 28732032.

The previous prime is 136311569. The next prime is 136311667. The reversal of 136311630 is 36113631.

It is a self number, because there is not a number n which added to its sum of digits gives 136311630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133261 + ... + 134279.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2136311630 is an apocalyptic number.

136311630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136311630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

136311630 is an abundant number, since it is smaller than the sum of its proper divisors (274952370).

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

136311630 is a wasteful number, since it uses less digits than its factorization.

136311630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 136311630 is about 11675.2571706151. The cubic root of 136311630 is about 514.6488069731.

The spelling of 136311630 in words is "one hundred thirty-six million, three hundred eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 343 390 455 490 546 637 686 735 910 1019 1029 1274 1365 1470 1715 1911 2038 2058 2730 3057 3185 3430 3822 4459 5095 5145 6114 6370 7133 8918 9555 10190 10290 13247 13377 14266 15285 19110 21399 22295 26494 26754 30570 35665 39741 42798 44590 49931 66235 66885 71330 79482 92729 99862 106995 132470 133770 149793 185458 198705 213990 249655 278187 299586 349517 397410 463645 499310 556374 649103 699034 748965 927290 1048551 1298206 1390935 1497930 1747585 1947309 2097102 2781870 3245515 3495170 3894618 4543721 5242755 6491030 9087442 9736545 10485510 13631163 19473090 22718605 27262326 45437210 68155815 136311630