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68914240 = 265316947
BaseRepresentation
bin1000001101110…
…00110001000000
311210200012120021
410012320301000
5120120223430
610501023224
71464522103
oct406706100
9153605507
1068914240
113599a31a
121b0b4b14
131137b575
14921c73a
1560b407a
hex41b8c40

68914240 has 56 divisors (see below), whose sum is σ = 169420032. Its totient is φ = 26672640.

The previous prime is 68914231. The next prime is 68914247. The reversal of 68914240 is 4241986.

It is a junction number, because it is equal to n+sod(n) for n = 68914196 and 68914205.

It is not an unprimeable number, because it can be changed into a prime (68914247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6447 + ... + 13393.

Almost surely, 268914240 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 68914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84710016).

68914240 is an abundant number, since it is smaller than the sum of its proper divisors (100505792).

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

68914240 is a wasteful number, since it uses less digits than its factorization.

68914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 68914240 is about 8301.4601125344. The cubic root of 68914240 is about 409.9865948423.

The spelling of 68914240 in words is "sixty-eight million, nine hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 6947 9920 13894 27788 34735 55576 69470 111152 138940 215357 222304 277880 430714 444608 555760 861428 1076785 1111520 1722856 2153570 2223040 3445712 4307140 6891424 8614280 13782848 17228560 34457120 68914240