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68940480 = 2635710259
BaseRepresentation
bin1000001101111…
…11001011000000
311210201112120010
410012333023000
5120122043410
610501344520
71464661440
oct406771300
9153645503
1068940480
1135a08004
121b108140
131138a4ab
149228120
1560bbc20
hex41bf2c0

68940480 has 112 divisors (see below), whose sum is σ = 250179840. Its totient is φ = 15756288.

The previous prime is 68940467. The next prime is 68940517. The reversal of 68940480 is 8404986.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1591 + ... + 11849.

Almost surely, 268940480 is an apocalyptic number.

68940480 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 68940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

68940480 is an abundant number, since it is smaller than the sum of its proper divisors (181239360).

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

68940480 is a wasteful number, since it uses less digits than its factorization.

68940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68940480 is about 8303.0404069835. The cubic root of 68940480 is about 410.0386241622.

The spelling of 68940480 in words is "sixty-eight million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 10259 20518 30777 41036 51295 61554 71813 82072 102590 123108 143626 153885 164144 205180 215439 246216 287252 307770 328288 359065 410360 430878 492432 574504 615540 656576 718130 820720 861756 984864 1077195 1149008 1231080 1436260 1641440 1723512 1969728 2154390 2298016 2462160 2872520 3282880 3447024 4308780 4596032 4924320 5745040 6894048 8617560 9848640 11490080 13788096 17235120 22980160 34470240 68940480