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68641536 = 283139643
BaseRepresentation
bin1000001011101…
…10001100000000
311210011100111010
410011312030000
5120033012121
610451120520
71462305045
oct405661400
9153140433
1068641536
1135823447
121aba3140
13112b43c2
14918b1cc
15605d376
hex4176300

68641536 has 72 divisors (see below), whose sum is σ = 184287040. Its totient is φ = 22680576.

The previous prime is 68641501. The next prime is 68641541. The reversal of 68641536 is 63514686.

It is a junction number, because it is equal to n+sod(n) for n = 68641494 and 68641503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106431 + ... + 107073.

Almost surely, 268641536 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 68641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92143520).

68641536 is an abundant number, since it is smaller than the sum of its proper divisors (115645504).

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

68641536 is a wasteful number, since it uses less digits than its factorization.

68641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 68641536 is about 8285.0187688381. The cubic root of 68641536 is about 409.4450870891.

The spelling of 68641536 in words is "sixty-eight million, six hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 643 768 834 1112 1286 1668 1929 2224 2572 3336 3858 4448 5144 6672 7716 8896 10288 13344 15432 17792 20576 26688 30864 35584 41152 53376 61728 82304 89377 106752 123456 164608 178754 246912 268131 357508 493824 536262 715016 1072524 1430032 2145048 2860064 4290096 5720128 8580192 11440256 17160384 22880512 34320768 68641536