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68657184 = 25321912547
BaseRepresentation
bin1000001011110…
…10000000100000
311210012010221200
410011322000200
5120034012214
610451321200
71462401501
oct405720040
9153163850
1068657184
1135834182
121abb0200
13112bb56b
149192ba8
156062d09
hex417a020

68657184 has 72 divisors (see below), whose sum is σ = 205536240. Its totient is φ = 21679488.

The previous prime is 68657161. The next prime is 68657221. The reversal of 68657184 is 48175686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802 + ... + 11745.

It is an arithmetic number, because the mean of its divisors is an integer number (2854670).

Almost surely, 268657184 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 68657184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102768120).

68657184 is an abundant number, since it is smaller than the sum of its proper divisors (136879056).

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

68657184 is a wasteful number, since it uses less digits than its factorization.

68657184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12571 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 68657184 is about 8285.9630701567. The cubic root of 68657184 is about 409.4761980378.

The spelling of 68657184 in words is "sixty-eight million, six hundred fifty-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 12547 25094 37641 50188 75282 100376 112923 150564 200752 225846 238393 301128 401504 451692 476786 602256 715179 903384 953572 1204512 1430358 1806768 1907144 2145537 2860716 3613536 3814288 4291074 5721432 7628576 8582148 11442864 17164296 22885728 34328592 68657184