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68417536 = 211113037
BaseRepresentation
bin1000001001111…
…11100000000000
311202201222012211
410010333200000
5120003330121
610442231504
71460353015
oct404774000
9152658184
1068417536
1135690120
121aab5594
1311236465
14912d70c
156016ce1
hex413f800

68417536 has 48 divisors (see below), whose sum is σ = 149287320. Its totient is φ = 31088640.

The previous prime is 68417533. The next prime is 68417563. The reversal of 68417536 is 63571486.

It is a happy number.

It is a super-2 number, since 2×684175362 = 9361918464622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68417533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21010 + ... + 24046.

Almost surely, 268417536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643660).

68417536 is an abundant number, since it is smaller than the sum of its proper divisors (80869784).

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

68417536 is a wasteful number, since it uses less digits than its factorization.

68417536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3050 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 68417536 is about 8271.4893459401. The cubic root of 68417536 is about 408.9992168851. Note that the first 3 decimals are identical.

The spelling of 68417536 in words is "sixty-eight million, four hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 3037 5632 6074 11264 12148 22528 24296 33407 48592 66814 97184 133628 194368 267256 388736 534512 777472 1069024 1554944 2138048 3109888 4276096 6219776 8552192 17104384 34208768 68417536