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68940720 = 2434510639
BaseRepresentation
bin1000001101111…
…11001110110000
311210201112220000
410012333032300
5120122100340
610501350000
71464662232
oct406771660
9153645800
1068940720
1135a08202
121b108300
131138a634
149228252
1560bbd30
hex41bf3b0

68940720 has 100 divisors (see below), whose sum is σ = 239463840. Its totient is φ = 18382464.

The previous prime is 68940671. The next prime is 68940749. The reversal of 68940720 is 2704986.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161 + ... + 11799.

Almost surely, 268940720 is an apocalyptic number.

68940720 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 68940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731920).

68940720 is an abundant number, since it is smaller than the sum of its proper divisors (170523120).

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

68940720 is a wasteful number, since it uses less digits than its factorization.

68940720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68940720 is about 8303.0548595080. The cubic root of 68940720 is about 410.0390999792.

The spelling of 68940720 in words is "sixty-eight million, nine hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 10639 21278 31917 42556 53195 63834 85112 95751 106390 127668 159585 170224 191502 212780 255336 287253 319170 383004 425560 478755 510672 574506 638340 766008 851120 861759 957510 1149012 1276680 1436265 1532016 1723518 1915020 2298024 2553360 2872530 3447036 3830040 4308795 4596048 5745060 6894072 7660080 8617590 11490120 13788144 17235180 22980240 34470360 68940720