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68844960 = 2532547809
BaseRepresentation
bin1000001101001…
…11110110100000
311210112200112100
410012213312200
5120111014320
610455330400
71464113112
oct406476640
9153480470
1068844960
1135952268
121b080a00
1311355b82
1492013b2
15609d790
hex41a7da0

68844960 has 72 divisors (see below), whose sum is σ = 234938340. Its totient is φ = 18358272.

The previous prime is 68844959. The next prime is 68845001. The reversal of 68844960 is 6944886.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 7817616 = 7812^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22465 + ... + 25344.

Almost surely, 268844960 is an apocalyptic number.

68844960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68844960 is an abundant number, since it is smaller than the sum of its proper divisors (166093380).

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

68844960 is a wasteful number, since it uses less digits than its factorization.

68844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47830 (or 47819 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68844960 is about 8297.2863033645. The cubic root of 68844960 is about 409.8491612494.

The spelling of 68844960 in words is "sixty-eight million, eight hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47809 95618 143427 191236 239045 286854 382472 430281 478090 573708 717135 764944 860562 956180 1147416 1434270 1529888 1721124 1912360 2151405 2294832 2868540 3442248 3824720 4302810 4589664 5737080 6884496 7649440 8605620 11474160 13768992 17211240 22948320 34422480 68844960