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68890176 = 263497137
BaseRepresentation
bin1000001101100…
…10111001000000
311210121222120000
410012302321000
5120113441201
610500320000
71464361665
oct406627100
9153558500
1068890176
1135983233
121b0a3000
1311370624
149213a6c
1560abd86
hex41b2e40

68890176 has 140 divisors (see below), whose sum is σ = 207823308. Its totient is φ = 22560768.

The previous prime is 68890169. The next prime is 68890201. The reversal of 68890176 is 67109886.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 33177600 = 5976^2 + 5760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 502780 + ... + 502916.

Almost surely, 268890176 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 68890176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103911654).

68890176 is an abundant number, since it is smaller than the sum of its proper divisors (138933132).

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

68890176 is a wasteful number, since it uses less digits than its factorization.

68890176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 68890176 is about 8300.0106024029. The cubic root of 68890176 is about 409.9388685379.

The spelling of 68890176 in words is "sixty-eight million, eight hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 137 144 162 192 194 216 274 288 291 324 388 411 432 548 576 582 648 776 822 864 873 1096 1164 1233 1296 1552 1644 1728 1746 2192 2328 2466 2592 2619 3104 3288 3492 3699 4384 4656 4932 5184 5238 6208 6576 6984 7398 7857 8768 9312 9864 10476 11097 13152 13289 13968 14796 15714 18624 19728 20952 22194 26304 26578 27936 29592 31428 39456 39867 41904 44388 53156 55872 59184 62856 78912 79734 83808 88776 106312 118368 119601 125712 159468 167616 177552 212624 236736 239202 251424 318936 355104 358803 425248 478404 502848 637872 710208 717606 850496 956808 1076409 1275744 1435212 1913616 2152818 2551488 2870424 3827232 4305636 5740848 7654464 8611272 11481696 17222544 22963392 34445088 68890176