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68854080 = 2635174219
BaseRepresentation
bin1000001101010…
…10000101000000
311210120011001010
410012222011000
5120111312310
610455440520
71464151521
oct406520500
9153504033
1068854080
11359590a9
121b086140
131135a079
149204848
1560a1320
hex41aa140

68854080 has 112 divisors (see below), whose sum is σ = 231526080. Its totient is φ = 17276928.

The previous prime is 68854073. The next prime is 68854087. The reversal of 68854080 is 8045886.

It is an interprime number because it is at equal distance from previous prime (68854073) and next prime (68854087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68854087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14211 + ... + 18429.

Almost surely, 268854080 is an apocalyptic number.

68854080 is a gapful number since it is divisible by the number (60) 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 68854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115763040).

68854080 is an abundant number, since it is smaller than the sum of its proper divisors (162672000).

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

68854080 is a wasteful number, since it uses less digits than its factorization.

68854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 68854080 is about 8297.8358624403. The cubic root of 68854080 is about 409.8672582377.

The spelling of 68854080 in words is "sixty-eight million, eight hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 4219 5440 8160 8438 12657 16320 16876 21095 25314 33752 42190 50628 63285 67504 71723 84380 101256 126570 135008 143446 168760 202512 215169 253140 270016 286892 337520 358615 405024 430338 506280 573784 675040 717230 810048 860676 1012560 1075845 1147568 1350080 1434460 1721352 2025120 2151690 2295136 2868920 3442704 4050240 4303380 4590272 5737840 6885408 8606760 11475680 13770816 17213520 22951360 34427040 68854080