Search a number
-
+
68183280 = 24325118609
BaseRepresentation
bin1000001000001…
…10010011110000
311202022001212200
410010012103300
5114423331110
610433223200
71455356034
oct404062360
9152261780
1068183280
1135540120
121aa01b00
1311183949
1490ac1c4
155ebc6c0
hex41064f0

68183280 has 120 divisors (see below), whose sum is σ = 249827760. Its totient is φ = 16527360.

The previous prime is 68183257. The next prime is 68183303. The reversal of 68183280 is 8238186.

It is an interprime number because it is at equal distance from previous prime (68183257) and next prime (68183303).

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 3616 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (2081898).

Almost surely, 268183280 is an apocalyptic number.

68183280 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 68183280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913880).

68183280 is an abundant number, since it is smaller than the sum of its proper divisors (181644480).

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

68183280 is a wasteful number, since it uses less digits than its factorization.

68183280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68183280 is about 8257.3167554600. The cubic root of 68183280 is about 408.5318899211.

The spelling of 68183280 in words is "sixty-eight million, one hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 8609 17218 25827 34436 43045 51654 68872 77481 86090 94699 103308 129135 137744 154962 172180 189398 206616 258270 284097 309924 344360 378796 387405 413232 473495 516540 568194 619848 688720 757592 774810 852291 946990 1033080 1136388 1239696 1420485 1515184 1549620 1704582 1893980 2066160 2272776 2840970 3099240 3409164 3787960 4261455 4545552 5681940 6198480 6818328 7575920 8522910 11363880 13636656 17045820 22727760 34091640 68183280