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136463616 = 28346581
BaseRepresentation
bin10000010001001…
…00010100000000
3100111210001220000
420020210110000
5234413313431
621312520000
73244631052
oct1010442400
9314701800
10136463616
1170037153
1239850000
132236c803
14141a38d2
15bea89e6
hex8224500

136463616 has 90 divisors (see below), whose sum is σ = 406971642. Its totient is φ = 45480960.

The previous prime is 136463609. The next prime is 136463629. The reversal of 136463616 is 616364631.

136463616 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 636 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 34857216 = 10080^2 + 5904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17446 + ... + 24026.

Almost surely, 2136463616 is an apocalyptic number.

136463616 is a gapful number since it is divisible by the number (16) 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 136463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203485821).

136463616 is an abundant number, since it is smaller than the sum of its proper divisors (270508026).

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

136463616 is an frugal number, since it uses more digits than its factorization.

136463616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6586 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 136463616 is about 11681.7642503177. The cubic root of 136463616 is about 514.8400118867.

It can be divided in two parts, 1364 and 63616, that added together give a triangular number (64980 = T360).

The spelling of 136463616 in words is "one hundred thirty-six million, four hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6581 6912 10368 13162 19743 20736 26324 39486 52648 59229 78972 105296 118458 157944 177687 210592 236916 315888 355374 421184 473832 533061 631776 710748 842368 947664 1066122 1263552 1421496 1684736 1895328 2132244 2527104 2842992 3790656 4264488 5054208 5685984 7581312 8528976 11371968 15162624 17057952 22743936 34115904 45487872 68231808 136463616