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146065140 = 223351320807
BaseRepresentation
bin10001011010011…
…00011011110100
3101011211212201000
420231030123310
5244343041030
622254403300
73422350614
oct1055143364
9334755630
10146065140
11754a49a1
1240b00530
1324351ba0
1415582a44
15cc53860
hex8b4c6f4

146065140 has 96 divisors (see below), whose sum is σ = 489404160. Its totient is φ = 35952768.

The previous prime is 146065091. The next prime is 146065177. The reversal of 146065140 is 41560641.

146065140 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 651 + 4 + 0 = 666.

146065140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 3384 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (5097960).

Almost surely, 2146065140 is an apocalyptic number.

146065140 is a gapful number since it is divisible by the number (10) 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 146065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244702080).

146065140 is an abundant number, since it is smaller than the sum of its proper divisors (343339020).

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

146065140 is a wasteful number, since it uses less digits than its factorization.

146065140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20838 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146065140 is about 12085.7411853804. The cubic root of 146065140 is about 526.6420425027.

The spelling of 146065140 in words is "one hundred forty-six million, sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 20807 41614 62421 83228 104035 124842 187263 208070 249684 270491 312105 374526 416140 540982 561789 624210 749052 811473 936315 1081964 1123578 1248420 1352455 1622946 1872630 2247156 2434419 2704910 2808945 3245892 3745260 4057365 4868838 5409820 5617890 7303257 8114730 9737676 11235780 12172095 14606514 16229460 24344190 29213028 36516285 48688380 73032570 146065140