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136684350 = 232521153521
BaseRepresentation
bin10000010010110…
…10001100111110
3100112012021200100
420021122030332
5234442344400
621321341530
73246540435
oct1011321476
9315167610
10136684350
1170177a80
12399378a6
132241911a
141422011c
15beee100
hex825a33e

136684350 has 144 divisors (see below), whose sum is σ = 408951504. Its totient is φ = 32448000.

The previous prime is 136684277. The next prime is 136684391. The reversal of 136684350 is 53486631.

It is a super-2 number, since 2×1366843502 = 37365223069845000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262090 + ... + 262610.

It is an arithmetic number, because the mean of its divisors is an integer number (2839941).

Almost surely, 2136684350 is an apocalyptic number.

136684350 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 136684350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204475752).

136684350 is an abundant number, since it is smaller than the sum of its proper divisors (272267154).

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

136684350 is a wasteful number, since it uses less digits than its factorization.

136684350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136684350 is about 11691.2082352510. The cubic root of 136684350 is about 515.1174520817.

It can be divided in two parts, 136 and 684350, that added together give a palindrome (684486).

The spelling of 136684350 in words is "one hundred thirty-six million, six hundred eighty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 53 55 66 75 90 99 106 110 150 159 165 198 225 265 275 318 330 450 477 495 521 530 550 583 795 825 954 990 1042 1166 1325 1563 1590 1650 1749 2385 2475 2605 2650 2915 3126 3498 3975 4689 4770 4950 5210 5247 5731 5830 7815 7950 8745 9378 10494 11462 11925 13025 14575 15630 17193 17490 23445 23850 26050 26235 27613 28655 29150 34386 39075 43725 46890 51579 52470 55226 57310 78150 82839 85965 87450 103158 117225 131175 138065 143275 165678 171930 234450 248517 257895 262350 276130 286550 303743 414195 429825 497034 515790 607486 690325 828390 859650 911229 1242585 1289475 1380650 1518715 1822458 2070975 2485170 2578950 2733687 3037430 4141950 4556145 5467374 6212925 7593575 9112290 12425850 13668435 15187150 22780725 27336870 45561450 68342175 136684350