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68801832 = 233311231259
BaseRepresentation
bin1000001100111…
…01010100101000
311210110111101000
410012131110220
5120103124312
610454355000
71463543301
oct406352450
9153414330
1068801832
1135922920
121b05ba60
131133c358
1491cd7a8
156090adc
hex419d528

68801832 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 19926720.

The previous prime is 68801801. The next prime is 68801851. The reversal of 68801832 is 23810886.

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

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 31 ways as a sum of consecutive naturals, for example, 54019 + ... + 55277.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 268801832 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 68801832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

68801832 is an abundant number, since it is smaller than the sum of its proper divisors (148926168).

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

68801832 is a wasteful number, since it uses less digits than its factorization.

68801832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68801832 is about 8294.6869742022. The cubic root of 68801832 is about 409.7635598877.

The spelling of 68801832 in words is "sixty-eight million, eight hundred one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1259 1518 1656 2024 2277 2376 2484 2518 3036 3777 4554 4968 5036 6072 6831 7554 9108 10072 11331 13662 13849 15108 18216 22662 27324 27698 28957 30216 33993 41547 45324 54648 55396 57914 67986 83094 86871 90648 110792 115828 124641 135972 166188 173742 231656 249282 260613 271944 318527 332376 347484 373923 498564 521226 637054 694968 747846 781839 955581 997128 1042452 1274108 1495692 1563678 1911162 2084904 2548216 2866743 2991384 3127356 3822324 5733486 6254712 7644648 8600229 11466972 17200458 22933944 34400916 68801832