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68379768 = 2333893557
BaseRepresentation
bin1000001001101…
…10010001111000
311202200001102000
410010312101320
5120001123033
610441341000
71460134632
oct404662170
9152601360
1068379768
1135664806
121aa97760
1311222202
14911da52
15600aa13
hex4136478

68379768 has 64 divisors (see below), whose sum is σ = 192132000. Its totient is φ = 22530816.

The previous prime is 68379749. The next prime is 68379781. The reversal of 68379768 is 86797386.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17446 + ... + 21002.

Almost surely, 268379768 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 68379768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96066000).

68379768 is an abundant number, since it is smaller than the sum of its proper divisors (123752232).

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

68379768 is a wasteful number, since it uses less digits than its factorization.

68379768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3651 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 68379768 is about 8269.2060078341. The cubic root of 68379768 is about 408.9239441476.

It can be divided in two parts, 683797 and 68, that added together give a triangular number (683865 = T1169).

The spelling of 68379768 in words is "sixty-eight million, three hundred seventy-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 3557 4806 6408 7114 9612 10671 14228 19224 21342 28456 32013 42684 64026 85368 96039 128052 192078 256104 316573 384156 633146 768312 949719 1266292 1899438 2532584 2849157 3798876 5698314 7597752 8547471 11396628 17094942 22793256 34189884 68379768