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68902080 = 2635135521
BaseRepresentation
bin1000001101101…
…01110011000000
311210122120212220
410012311303000
5120114331310
610500451040
71464441462
oct406656300
9153576786
1068902080
1135991175
121b0a9a80
1311375b80
149218132
1560b0670
hex41b5cc0

68902080 has 112 divisors (see below), whose sum is σ = 235634784. Its totient is φ = 16957440.

The previous prime is 68902079. The next prime is 68902081. The reversal of 68902080 is 8020986.

It is an interprime number because it is at equal distance from previous prime (68902079) and next prime (68902081).

It is not an unprimeable number, because it can be changed into a prime (68902081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9720 + ... + 15240.

It is an arithmetic number, because the mean of its divisors is an integer number (2103882).

Almost surely, 268902080 is an apocalyptic number.

68902080 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 68902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117817392).

68902080 is an abundant number, since it is smaller than the sum of its proper divisors (166732704).

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

68902080 is a wasteful number, since it uses less digits than its factorization.

68902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 68902080 is about 8300.7276789448. The cubic root of 68902080 is about 409.9624792156.

The spelling of 68902080 in words is "sixty-eight million, nine hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 5521 6240 11042 12480 16563 22084 27605 33126 44168 55210 66252 71773 82815 88336 110420 132504 143546 165630 176672 215319 220840 265008 287092 331260 353344 358865 430638 441680 530016 574184 662520 717730 861276 883360 1060032 1076595 1148368 1325040 1435460 1722552 1766720 2153190 2296736 2650080 2870920 3445104 4306380 4593472 5300160 5741840 6890208 8612760 11483680 13780416 17225520 22967360 34451040 68902080