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68068032 = 2631947397
BaseRepresentation
bin1000000111010…
…10001011000000
311202002012210020
410003222023000
5114411134112
610430533440
71454366034
oct403521300
9152065706
1068068032
113547157a
121a967280
1311143356
14907c1c4
155e9848c
hex40ea2c0

68068032 has 112 divisors (see below), whose sum is σ = 194096640. Its totient is φ = 20984832.

The previous prime is 68068003. The next prime is 68068069. The reversal of 68068032 is 23086086.

It is a junction number, because it is equal to n+sod(n) for n = 68067984 and 68068002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171258 + ... + 171654.

Almost surely, 268068032 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 68068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97048320).

68068032 is an abundant number, since it is smaller than the sum of its proper divisors (126028608).

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

68068032 is a wasteful number, since it uses less digits than its factorization.

68068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68068032 is about 8250.3352659150. The cubic root of 68068032 is about 408.3015840186.

The spelling of 68068032 in words is "sixty-eight million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 282 304 376 397 456 564 608 752 794 893 912 1128 1191 1216 1504 1588 1786 1824 2256 2382 2679 3008 3176 3572 3648 4512 4764 5358 6352 7144 7543 9024 9528 10716 12704 14288 15086 18659 19056 21432 22629 25408 28576 30172 37318 38112 42864 45258 55977 57152 60344 74636 76224 85728 90516 111954 120688 149272 171456 181032 223908 241376 298544 354521 362064 447816 482752 597088 709042 724128 895632 1063563 1194176 1418084 1448256 1791264 2127126 2836168 3582528 4254252 5672336 8508504 11344672 17017008 22689344 34034016 68068032