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146812068 = 223313176151
BaseRepresentation
bin10001100000000…
…10110010100100
3101020020211022000
420300002302210
5300040441233
622322405300
73431611344
oct1060026244
9336224260
10146812068
1175965097
1241200830
1324553b60
14156d8d24
15cd4ed13
hex8c02ca4

146812068 has 96 divisors (see below), whose sum is σ = 434085120. Its totient is φ = 42508800.

The previous prime is 146812049. The next prime is 146812079. The reversal of 146812068 is 860218641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20793 + ... + 26943.

It is an arithmetic number, because the mean of its divisors is an integer number (4521720).

Almost surely, 2146812068 is an apocalyptic number.

146812068 is a gapful number since it is divisible by the number (18) 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 146812068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217042560).

146812068 is an abundant number, since it is smaller than the sum of its proper divisors (287273052).

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

146812068 is a wasteful number, since it uses less digits than its factorization.

146812068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 146812068 is about 12116.6029892871. The cubic root of 146812068 is about 527.5382067667.

The spelling of 146812068 in words is "one hundred forty-six million, eight hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 6151 7956 11934 12302 18453 23868 24604 36906 55359 73812 79963 104567 110718 159926 166077 209134 221436 239889 313701 319852 332154 418268 479778 627402 664308 719667 941103 959556 1254804 1359371 1439334 1882206 2159001 2718742 2823309 2878668 3764412 4078113 4318002 5437484 5646618 8156226 8636004 11293236 12234339 16312452 24468678 36703017 48937356 73406034 146812068