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68674080 = 2535173827
BaseRepresentation
bin1000001011111…
…10001000100000
311210020000010110
410011332020200
5120040032310
610451531320
71462501656
oct405761040
9153200113
1068674080
1135845942
121abb9b40
13112c6167
149198dd6
156067d20
hex417e220

68674080 has 96 divisors (see below), whose sum is σ = 217836864. Its totient is φ = 18185216.

The previous prime is 68674079. The next prime is 68674153. The reversal of 68674080 is 8047686.

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

It is a super-2 number, since 2×686740802 = 9432258527692800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82627 + ... + 83453.

It is an arithmetic number, because the mean of its divisors is an integer number (2269134).

Almost surely, 268674080 is an apocalyptic number.

68674080 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 68674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108918432).

68674080 is an abundant number, since it is smaller than the sum of its proper divisors (149162784).

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

68674080 is a wasteful number, since it uses less digits than its factorization.

68674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 68674080 is about 8286.9825630322. The cubic root of 68674080 is about 409.5097849207.

The spelling of 68674080 in words is "sixty-eight million, six hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 240 346 480 519 692 827 865 1038 1384 1654 1730 2076 2481 2595 2768 3308 3460 4135 4152 4962 5190 5536 6616 6920 8270 8304 9924 10380 12405 13232 13840 16540 16608 19848 20760 24810 26464 27680 33080 39696 41520 49620 66160 79392 83040 99240 132320 143071 198480 286142 396960 429213 572284 715355 858426 1144568 1430710 1716852 2146065 2289136 2861420 3433704 4292130 4578272 5722840 6867408 8584260 11445680 13734816 17168520 22891360 34337040 68674080