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68719280 = 245741273
BaseRepresentation
bin1000001100010…
…01001010110000
311210022022010112
410012021022300
5120043004110
610452520452
71463050520
oct406111260
9153268115
1068719280
11358768a3
121b020128
13113108c6
1491ab680
156076405
hex41892b0

68719280 has 120 divisors (see below), whose sum is σ = 189722976. Its totient is φ = 22671360.

The previous prime is 68719271. The next prime is 68719291. The reversal of 68719280 is 8291786.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 941324 + ... + 941396.

Almost surely, 268719280 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 68719280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94861488).

68719280 is an abundant number, since it is smaller than the sum of its proper divisors (121003696).

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

68719280 is a wasteful number, since it uses less digits than its factorization.

68719280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 68719280 is about 8289.7092832017. The cubic root of 68719280 is about 409.5996091203.

The spelling of 68719280 in words is "sixty-eight million, seven hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 73 80 82 112 140 146 164 205 280 287 292 328 365 410 511 560 574 584 656 730 820 1022 1148 1168 1435 1460 1640 1681 2044 2296 2555 2870 2920 2993 3280 3362 4088 4592 5110 5740 5840 5986 6724 8176 8405 10220 11480 11767 11972 13448 14965 16810 20440 20951 22960 23534 23944 26896 29930 33620 40880 41902 47068 47888 58835 59860 67240 83804 94136 104755 117670 119720 122713 134480 167608 188272 209510 235340 239440 245426 335216 419020 470680 490852 613565 838040 858991 941360 981704 1227130 1676080 1717982 1963408 2454260 3435964 4294955 4908520 6871928 8589910 9817040 13743856 17179820 34359640 68719280