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68011272 = 23337311451
BaseRepresentation
bin1000000110111…
…00010100001000
311201222022221000
410003130110020
5114402330042
610425415000
71454041410
oct403342410
9151868830
1068011272
113543296a
121a93a460
1311123574
149065640
155e8674c
hex40dc508

68011272 has 128 divisors (see below), whose sum is σ = 223027200. Its totient is φ = 18792000.

The previous prime is 68011267. The next prime is 68011277. The reversal of 68011272 is 27211086.

It is an interprime number because it is at equal distance from previous prime (68011267) and next prime (68011277).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68011277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46147 + ... + 47597.

It is an arithmetic number, because the mean of its divisors is an integer number (1742400).

Almost surely, 268011272 is an apocalyptic number.

68011272 is a gapful number since it is divisible by the number (62) 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 68011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111513600).

68011272 is an abundant number, since it is smaller than the sum of its proper divisors (155015928).

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

68011272 is a wasteful number, since it uses less digits than its factorization.

68011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 68011272 is about 8246.8946883054. The cubic root of 68011272 is about 408.1880620909.

The spelling of 68011272 in words is "sixty-eight million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1451 1512 1674 1736 1953 2232 2604 2902 3348 3906 4353 5208 5804 5859 6696 7812 8706 10157 11608 11718 13059 15624 17412 20314 23436 26118 30471 34824 39177 40628 44981 46872 52236 60942 78354 81256 89962 91413 104472 121884 134943 156708 179924 182826 243768 269886 274239 313416 314867 359848 365652 404829 539772 548478 629734 731304 809658 944601 1079544 1096956 1214487 1259468 1619316 1889202 2193912 2428974 2518936 2833803 3238632 3778404 4857948 5667606 7556808 8501409 9715896 11335212 17002818 22670424 34005636 68011272