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68030640 = 24325194973
BaseRepresentation
bin1000000111000…
…01000010110000
311202000022111100
410003201002300
5114403440030
610430044400
71454152026
oct403410260
9152008440
1068030640
1135446477
121a949700
131112c322
14906c716
155e8c360
hex40e10b0

68030640 has 120 divisors (see below), whose sum is σ = 240542640. Its totient is φ = 17183232.

The previous prime is 68030639. The next prime is 68030663. The reversal of 68030640 is 4603086.

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

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, 11194 + ... + 16166.

It is an arithmetic number, because the mean of its divisors is an integer number (2004522).

Almost surely, 268030640 is an apocalyptic number.

68030640 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 68030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120271320).

68030640 is an abundant number, since it is smaller than the sum of its proper divisors (172512000).

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

68030640 is a wasteful number, since it uses less digits than its factorization.

68030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 68030640 is about 8248.0688648920. The cubic root of 68030640 is about 408.2268058453.

The spelling of 68030640 in words is "sixty-eight million, thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 4973 6840 9946 13680 14919 19892 24865 29838 39784 44757 49730 59676 74595 79568 89514 94487 99460 119352 149190 179028 188974 198920 223785 238704 283461 298380 358056 377948 397840 447570 472435 566922 596760 716112 755896 850383 895140 944870 1133844 1193520 1417305 1511792 1700766 1790280 1889740 2267688 2834610 3401532 3580560 3779480 4251915 4535376 5669220 6803064 7558960 8503830 11338440 13606128 17007660 22676880 34015320 68030640