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68654432 = 25711217149
BaseRepresentation
bin1000001011110…
…01010101100000
311210012000011202
410011321111200
5120033420212
610451300332
71462360460
oct405712540
9153160152
1068654432
1135832100
121abaa6a8
13112ba232
149191ba0
1560620c2
hex4179560

68654432 has 144 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 25006080.

The previous prime is 68654389. The next prime is 68654437. The reversal of 68654432 is 23445686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68654437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 460694 + ... + 460842.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 268654432 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 68654432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

68654432 is an abundant number, since it is smaller than the sum of its proper divisors (112331968).

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

68654432 is a wasteful number, since it uses less digits than its factorization.

68654432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 68654432 is about 8285.7970045132. The cubic root of 68654432 is about 409.4707269252.

The spelling of 68654432 in words is "sixty-eight million, six hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 121 136 149 154 176 187 224 238 242 272 298 308 352 374 476 484 544 596 616 748 847 952 968 1043 1192 1232 1309 1496 1639 1694 1904 1936 2057 2086 2384 2464 2533 2618 2992 3278 3388 3808 3872 4114 4172 4768 5066 5236 5984 6556 6776 8228 8344 10132 10472 11473 13112 13552 14399 16456 16688 17731 18029 20264 20944 22946 26224 27104 27863 28798 32912 33376 35462 36058 40528 41888 45892 52448 55726 57596 65824 70924 72116 81056 91784 111452 115192 126203 141848 144232 183568 195041 222904 230384 252406 283696 288464 306493 367136 390082 445808 460768 504812 567392 576928 612986 780164 891616 1009624 1225972 1560328 2019248 2145451 2451944 3120656 4038496 4290902 4903888 6241312 8581804 9807776 17163608 34327216 68654432