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68651040 = 2535891607
BaseRepresentation
bin1000001011110…
…00100000100000
311210011211112010
410011320200200
5120033313130
610451232520
71462344543
oct405704040
9153154463
1068651040
113582a5a7
121aba8740
13112b8823
14919085a
1560610b0
hex4178820

68651040 has 96 divisors (see below), whose sum is σ = 218816640. Its totient is φ = 18089984.

The previous prime is 68651039. The next prime is 68651041. The reversal of 68651040 is 4015686.

It is an interprime number because it is at equal distance from previous prime (68651039) and next prime (68651041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68650989 and 68651007.

It is not an unprimeable number, because it can be changed into a prime (68651041) 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, 41917 + ... + 43523.

It is an arithmetic number, because the mean of its divisors is an integer number (2279340).

Almost surely, 268651040 is an apocalyptic number.

68651040 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 68651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109408320).

68651040 is an abundant number, since it is smaller than the sum of its proper divisors (150165600).

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

68651040 is a wasteful number, since it uses less digits than its factorization.

68651040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 68651040 is about 8285.5923143732. The cubic root of 68651040 is about 409.4639832597.

The spelling of 68651040 in words is "sixty-eight million, six hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1607 1780 2136 2670 2848 3214 3560 4272 4821 5340 6428 7120 8035 8544 9642 10680 12856 14240 16070 19284 21360 24105 25712 32140 38568 42720 48210 51424 64280 77136 96420 128560 143023 154272 192840 257120 286046 385680 429069 572092 715115 771360 858138 1144184 1430230 1716276 2145345 2288368 2860460 3432552 4290690 4576736 5720920 6865104 8581380 11441840 13730208 17162760 22883680 34325520 68651040