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68464128 = 29329253
BaseRepresentation
bin1000001010010…
…10111000000000
311202211100010110
410011022320000
5120011323003
610443231320
71460635605
oct405127000
9152740113
1068464128
1135712127
121ab18540
1311251725
1491426ac
156025a03
hex414ae00

68464128 has 120 divisors (see below), whose sum is σ = 192463128. Its totient is φ = 21618688.

The previous prime is 68464111. The next prime is 68464129. The reversal of 68464128 is 82146486.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68464129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1291750 + ... + 1291802.

Almost surely, 268464128 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 68464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96231564).

68464128 is an abundant number, since it is smaller than the sum of its proper divisors (123999000).

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

68464128 is an equidigital number, since it uses as much as digits as its factorization.

68464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 68464128 is about 8274.3052880589. The cubic root of 68464128 is about 409.0920379587.

The spelling of 68464128 in words is "sixty-eight million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 128 159 174 192 212 232 256 318 348 384 424 464 512 636 696 768 841 848 928 1272 1392 1536 1537 1682 1696 1856 2523 2544 2784 3074 3364 3392 3712 4611 5046 5088 5568 6148 6728 6784 7424 9222 10092 10176 11136 12296 13456 13568 14848 18444 20184 20352 22272 24592 26912 27136 36888 40368 40704 44544 44573 49184 53824 73776 80736 81408 89146 98368 107648 133719 147552 161472 178292 196736 215296 267438 295104 322944 356584 393472 430592 534876 590208 645888 713168 786944 1069752 1180416 1291776 1426336 2139504 2360832 2852672 4279008 5705344 8558016 11410688 17116032 22821376 34232064 68464128