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68115456 = 2103219389
BaseRepresentation
bin1000000111101…
…01110000000000
311202011121211200
410003311300000
5114414143311
610431541200
71454654223
oct403656000
9152147750
1068115456
11354a4172
121a98a800
131115bb06
1490915ba
155ea7556
hex40f5c00

68115456 has 132 divisors (see below), whose sum is σ = 207565800. Its totient is φ = 21454848.

The previous prime is 68115449. The next prime is 68115457. The reversal of 68115456 is 65451186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68115456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68115457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174910 + ... + 175298.

Almost surely, 268115456 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 68115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103782900).

68115456 is an abundant number, since it is smaller than the sum of its proper divisors (139450344).

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

68115456 is a wasteful number, since it uses less digits than its factorization.

68115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 68115456 is about 8253.2088305095. The cubic root of 68115456 is about 408.3963852470.

The spelling of 68115456 in words is "sixty-eight million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 389 456 512 576 608 684 768 778 912 1024 1152 1167 1216 1368 1536 1556 1824 2304 2334 2432 2736 3072 3112 3501 3648 4608 4668 4864 5472 6224 7002 7296 7391 9216 9336 9728 10944 12448 14004 14592 14782 18672 19456 21888 22173 24896 28008 29184 29564 37344 43776 44346 49792 56016 58368 59128 66519 74688 87552 88692 99584 112032 118256 133038 149376 175104 177384 199168 224064 236512 266076 298752 354768 398336 448128 473024 532152 597504 709536 896256 946048 1064304 1195008 1419072 1792512 1892096 2128608 2838144 3585024 3784192 4257216 5676288 7568384 8514432 11352576 17028864 22705152 34057728 68115456