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136700440 = 23519434789
BaseRepresentation
bin10000010010111…
…10001000011000
3100112020002202021
420021132020120
5234443403230
621321544224
73246635362
oct1011361030
9315202667
10136700440
1170189078
1239945074
1322423546
1414225d32
15c003c7a
hex825e218

136700440 has 128 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 48964608.

The previous prime is 136700407. The next prime is 136700453. The reversal of 136700440 is 44007631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535916 + ... + 1536004.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2136700440 is an apocalyptic number.

136700440 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 136700440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

136700440 is an abundant number, since it is smaller than the sum of its proper divisors (205443560).

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

136700440 is a wasteful number, since it uses less digits than its factorization.

136700440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 136700440 is about 11691.8963389178. The cubic root of 136700440 is about 515.1376638924.

The spelling of 136700440 in words is "one hundred thirty-six million, seven hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 47 76 86 89 94 95 152 172 178 188 190 215 235 344 356 376 380 430 445 470 712 760 817 860 890 893 940 1634 1691 1720 1780 1786 1880 2021 3268 3382 3560 3572 3827 4042 4085 4183 4465 6536 6764 7144 7654 8084 8170 8366 8455 8930 10105 13528 15308 16168 16340 16732 16910 17860 19135 20210 20915 30616 32680 33464 33820 35720 38270 38399 40420 41830 67640 72713 76540 76798 79477 80840 83660 145426 153080 153596 158954 167320 179869 191995 290852 307192 317908 359738 363565 383990 397385 581704 635816 719476 727130 767980 794770 899345 1438952 1454260 1535960 1589540 1798690 2908520 3179080 3417511 3597380 6835022 7194760 13670044 17087555 27340088 34175110 68350220 136700440