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68071040 = 275314773
BaseRepresentation
bin1000000111010…
…10111010000000
311202002100220122
410003222322000
5114411233130
610430555412
71454410562
oct403527200
9152070818
1068071040
1135473864
121a968b68
131114482b
14907d332
155e992e5
hex40eae80

68071040 has 128 divisors (see below), whose sum is σ = 173905920. Its totient is φ = 25436160.

The previous prime is 68071019. The next prime is 68071049. The reversal of 68071040 is 4017086.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68071049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932444 + ... + 932516.

It is an arithmetic number, because the mean of its divisors is an integer number (1358640).

Almost surely, 268071040 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 68071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86952960).

68071040 is an abundant number, since it is smaller than the sum of its proper divisors (105834880).

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

68071040 is a wasteful number, since it uses less digits than its factorization.

68071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 68071040 is about 8250.5175595232. The cubic root of 68071040 is about 408.3075983596.

The spelling of 68071040 in words is "sixty-eight million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 64 73 80 94 124 128 146 155 160 188 235 248 292 310 320 365 376 470 496 584 620 640 730 752 940 992 1168 1240 1457 1460 1504 1880 1984 2263 2336 2480 2914 2920 3008 3431 3760 3968 4526 4672 4960 5828 5840 6016 6862 7285 7520 9052 9344 9920 11315 11656 11680 13724 14570 15040 17155 18104 19840 22630 23312 23360 27448 29140 30080 34310 36208 45260 46624 46720 54896 58280 68620 72416 90520 93248 106361 109792 116560 137240 144832 181040 186496 212722 219584 233120 274480 289664 362080 425444 439168 466240 531805 548960 724160 850888 932480 1063610 1097920 1448320 1701776 2127220 2195840 3403552 4254440 6807104 8508880 13614208 17017760 34035520 68071040