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146041168 = 2473132389
BaseRepresentation
bin10001011010001…
…10100101010000
3101011210122211011
420231012211100
5244341304133
622254100304
73422221000
oct1055064520
9334718734
10146041168
1175488989
1240aaa694
1324343cc0
1415578000
15cc4b6cd
hex8b46950

146041168 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 54641664.

The previous prime is 146041157. The next prime is 146041199. The reversal of 146041168 is 861140641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640868 + ... + 1640956.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2146041168 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 146041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

146041168 is an abundant number, since it is smaller than the sum of its proper divisors (228934832).

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

146041168 is a wasteful number, since it uses less digits than its factorization.

146041168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 146041168 is about 12084.7493974844. The cubic root of 146041168 is about 526.6132303491.

The spelling of 146041168 in words is "one hundred forty-six million, forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 89 91 92 98 104 112 161 178 182 184 196 208 299 322 343 356 364 368 392 598 623 637 644 686 712 728 784 1127 1157 1196 1246 1274 1288 1372 1424 1456 2047 2093 2254 2314 2392 2492 2548 2576 2744 4094 4186 4361 4459 4508 4628 4784 4984 5096 5488 7889 8099 8188 8372 8722 8918 9016 9256 9968 10192 14329 14651 15778 16198 16376 16744 17444 17836 18032 18512 26611 28658 29302 30527 31556 32396 32752 33488 34888 35672 53222 56693 57316 58604 61054 63112 64792 69776 71344 100303 102557 106444 113386 114632 117208 122108 126224 129584 186277 200606 205114 212888 226772 229264 234416 244216 372554 396851 401212 410228 425776 453544 488432 702121 745108 793702 802424 820456 907088 1303939 1404242 1490216 1587404 1604848 1640912 2607878 2808484 2980432 3174808 5215756 5616968 6349616 9127573 10431512 11233936 18255146 20863024 36510292 73020584 146041168