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136415244 = 223747109317
BaseRepresentation
bin10000010000110…
…00100000001100
3100111200121112110
420020120200030
5234410241434
621311504020
73244340040
oct1010304014
9314617473
10136415244
1170003879
1239828010
13223537a4
1414190020
15be994e9
hex821880c

136415244 has 96 divisors (see below), whose sum is σ = 376104960. Its totient is φ = 37677312.

The previous prime is 136415243. The next prime is 136415249. The reversal of 136415244 is 442514631.

It is not an unprimeable number, because it can be changed into a prime (136415243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430174 + ... + 430490.

It is an arithmetic number, because the mean of its divisors is an integer number (3917760).

Almost surely, 2136415244 is an apocalyptic number.

136415244 is a gapful number since it is divisible by the number (14) 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 136415244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188052480).

136415244 is an abundant number, since it is smaller than the sum of its proper divisors (239689716).

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

136415244 is a wasteful number, since it uses less digits than its factorization.

136415244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 136415244 is about 11679.6936603663. The cubic root of 136415244 is about 514.7791732424.

Adding to 136415244 its reverse (442514631), we get a palindrome (578929875).

The spelling of 136415244 in words is "one hundred thirty-six million, four hundred fifteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 109 141 188 218 282 317 327 329 436 564 634 654 658 763 951 987 1268 1308 1316 1526 1902 1974 2219 2289 3052 3804 3948 4438 4578 5123 6657 8876 9156 10246 13314 14899 15369 20492 26628 29798 30738 34553 35861 44697 59596 61476 69106 71722 89394 103659 104293 107583 138212 143444 178788 207318 208586 215166 241871 312879 414636 417172 430332 483742 625758 725613 967484 1251516 1451226 1623991 2902452 3247982 4871973 6495964 9743946 11367937 19487892 22735874 34103811 45471748 68207622 136415244