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68020992 = 283313757
BaseRepresentation
bin1000000110111…
…10101100000000
311201222211021000
410003132230000
5114403132432
610425532000
71454111634
oct403365400
9151884230
1068020992
113543a1a6
121a944000
1311127b10
149068dc4
155e8957c
hex40deb00

68020992 has 144 divisors (see below), whose sum is σ = 216909280. Its totient is φ = 20901888.

The previous prime is 68020957. The next prime is 68020993. The reversal of 68020992 is 29902086.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68020993) 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, 89478 + ... + 90234.

Almost surely, 268020992 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 68020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108454640).

68020992 is an abundant number, since it is smaller than the sum of its proper divisors (148888288).

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

68020992 is a wasteful number, since it uses less digits than its factorization.

68020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68020992 is about 8247.4839799784. The cubic root of 68020992 is about 408.2075069018.

The spelling of 68020992 in words is "sixty-eight million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 757 768 832 864 936 1152 1248 1404 1514 1664 1728 1872 2271 2304 2496 2808 3028 3328 3456 3744 4542 4992 5616 6056 6813 6912 7488 9084 9841 9984 11232 12112 13626 14976 18168 19682 20439 22464 24224 27252 29523 29952 36336 39364 40878 44928 48448 54504 59046 72672 78728 81756 88569 89856 96896 109008 118092 145344 157456 163512 177138 193792 218016 236184 265707 290688 314912 327024 354276 436032 472368 531414 581376 629824 654048 708552 872064 944736 1062828 1259648 1308096 1417104 1744128 1889472 2125656 2519296 2616192 2834208 3778944 4251312 5232384 5668416 7557888 8502624 11336832 17005248 22673664 34010496 68020992