Search a number
-
+
136645340 = 2251319139199
BaseRepresentation
bin10000010010100…
…00101011011100
3100112010022011112
420021100223130
5234440122330
621320441152
73246315626
oct1011205334
9315108145
10136645340
1170150737
12399191b8
1322404440
141420dc16
15bee2795
hex8250adc

136645340 has 96 divisors (see below), whose sum is σ = 329280000. Its totient is φ = 47215872.

The previous prime is 136645339. The next prime is 136645373. The reversal of 136645340 is 43546631.

It is a junction number, because it is equal to n+sod(n) for n = 136645297 and 136645306.

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 31 ways as a sum of consecutive naturals, for example, 686561 + ... + 686759.

It is an arithmetic number, because the mean of its divisors is an integer number (3430000).

Almost surely, 2136645340 is an apocalyptic number.

136645340 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 136645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164640000).

136645340 is an abundant number, since it is smaller than the sum of its proper divisors (192634660).

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

136645340 is a wasteful number, since it uses less digits than its factorization.

136645340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 136645340 is about 11689.5397685281. The cubic root of 136645340 is about 515.0684422187.

The spelling of 136645340 in words is "one hundred thirty-six million, six hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 139 190 199 247 260 278 380 398 494 556 695 796 988 995 1235 1390 1807 1990 2470 2587 2641 2780 3614 3781 3980 4940 5174 5282 7228 7562 9035 10348 10564 12935 13205 15124 18070 18905 25870 26410 27661 34333 36140 37810 49153 51740 52820 55322 68666 75620 98306 110644 137332 138305 171665 196612 245765 276610 343330 359593 491530 525559 553220 686660 719186 983060 1051118 1438372 1797965 2102236 2627795 3595930 5255590 6832267 7191860 10511180 13664534 27329068 34161335 68322670 136645340