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68709120 = 283529617
BaseRepresentation
bin1000001100001…
…10101100000000
311210021210012020
410012012230000
5120042142440
610452401440
71463006064
oct406065400
9153253166
1068709120
113586a1a7
121b016280
13113090ac
1491a7aa4
1560733d0
hex4186b00

68709120 has 144 divisors (see below), whose sum is σ = 227374560. Its totient is φ = 17661952.

The previous prime is 68709101. The next prime is 68709139. The reversal of 68709120 is 2190786.

It is an interprime number because it is at equal distance from previous prime (68709101) and next prime (68709139).

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, 111052 + ... + 111668.

It is an arithmetic number, because the mean of its divisors is an integer number (1578990).

Almost surely, 268709120 is an apocalyptic number.

68709120 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 68709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113687280).

68709120 is an abundant number, since it is smaller than the sum of its proper divisors (158665440).

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

68709120 is a wasteful number, since it uses less digits than its factorization.

68709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 68709120 is about 8289.0964525695. The cubic root of 68709120 is about 409.5794219805.

The spelling of 68709120 in words is "sixty-eight million, seven hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 617 640 696 768 870 928 960 1160 1234 1280 1392 1740 1851 1856 1920 2320 2468 2784 3085 3480 3702 3712 3840 4640 4936 5568 6170 6960 7404 7424 9255 9280 9872 11136 12340 13920 14808 17893 18510 18560 19744 22272 24680 27840 29616 35786 37020 37120 39488 49360 53679 55680 59232 71572 74040 78976 89465 98720 107358 111360 118464 143144 148080 157952 178930 197440 214716 236928 268395 286288 296160 357860 394880 429432 473856 536790 572576 592320 715720 789760 858864 1073580 1145152 1184640 1431440 1717728 2147160 2290304 2369280 2862880 3435456 4294320 4580608 5725760 6870912 8588640 11451520 13741824 17177280 22903040 34354560 68709120