Search a number
-
+
136587990 = 23572118447
BaseRepresentation
bin10000010010000…
…10101011010110
3100112000101111110
420021002223112
5234431303430
621315315450
73245656500
oct1011025326
9315011443
10136587990
1170111640
12398abb86
13223b42c6
14141d6d70
15bed07b0
hex8242ad6

136587990 has 96 divisors (see below), whose sum is σ = 416047104. Its totient is φ = 28378560.

The previous prime is 136587973. The next prime is 136588021. The reversal of 136587990 is 99785631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11947 + ... + 20393.

It is an arithmetic number, because the mean of its divisors is an integer number (4333824).

Almost surely, 2136587990 is an apocalyptic number.

136587990 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 136587990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208023552).

136587990 is an abundant number, since it is smaller than the sum of its proper divisors (279459114).

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

136587990 is a wasteful number, since it uses less digits than its factorization.

136587990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 136587990 is about 11687.0864632722. The cubic root of 136587990 is about 514.9963741222.

The spelling of 136587990 in words is "one hundred thirty-six million, five hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 8447 16170 16894 25341 42235 50682 59129 84470 92917 118258 126705 177387 185834 253410 278751 295645 354774 413903 464585 557502 591290 650419 827806 886935 929170 1241709 1300838 1393755 1773870 1951257 2069515 2483418 2787510 3252095 3902514 4139030 4552933 6208545 6504190 9105866 9756285 12417090 13658799 19512570 22764665 27317598 45529330 68293995 136587990