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68186624 = 291112107
BaseRepresentation
bin1000001000001…
…11001000000000
311202022020110112
410010013020000
5114423432444
610433250452
71455401552
oct404071000
9152266415
1068186624
1135542690
121aa03a28
131118531c
1490ad4d2
155ebd69e
hex4107200

68186624 has 40 divisors (see below), whose sum is σ = 148637808. Its totient is φ = 30991360.

The previous prime is 68186621. The next prime is 68186633. The reversal of 68186624 is 42668186.

It is not an unprimeable number, because it can be changed into a prime (68186621) 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, 422 + ... + 11685.

Almost surely, 268186624 is an apocalyptic number.

68186624 is a gapful number since it is divisible by the number (64) 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 68186624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74318904).

68186624 is an abundant number, since it is smaller than the sum of its proper divisors (80451184).

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

68186624 is a wasteful number, since it uses less digits than its factorization.

68186624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12136 (or 12120 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 68186624 is about 8257.5192400624. The cubic root of 68186624 is about 408.5385685297.

The spelling of 68186624 in words is "sixty-eight million, one hundred eighty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 12107 24214 48428 96856 133177 193712 266354 387424 532708 774848 1065416 1549696 2130832 3099392 4261664 6198784 8523328 17046656 34093312 68186624