Search a number
-
+
146030220 = 223257235039
BaseRepresentation
bin10001011010000…
…11111010001100
3101011210002210200
420231003322030
5244340431340
622253533500
73422144040
oct1055037214
9334702720
10146030220
1175480736
1240aa4290
132433c01b
1415574020
15cc48330
hex8b43e8c

146030220 has 144 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 31920768.

The previous prime is 146030201. The next prime is 146030263. The reversal of 146030220 is 22030641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 146030193 and 146030202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26461 + ... + 31499.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2146030220 is an apocalyptic number.

146030220 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 146030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

146030220 is an abundant number, since it is smaller than the sum of its proper divisors (382323060).

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

146030220 is a wasteful number, since it uses less digits than its factorization.

146030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146030220 is about 12084.2964213892. The cubic root of 146030220 is about 526.6000708046.

Adding to 146030220 its reverse (22030641), we get a palindrome (168060861).

The spelling of 146030220 in words is "one hundred forty-six million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5039 5796 7245 9660 10078 14490 15117 20156 25195 28980 30234 35273 45351 50390 60468 70546 75585 90702 100780 105819 115897 141092 151170 176365 181404 211638 226755 231794 302340 317457 347691 352730 423276 453510 463588 529095 579485 634914 695382 705460 811279 907020 1043073 1058190 1158970 1269828 1390764 1587285 1622558 1738455 2086146 2116380 2317940 2433837 3174570 3245116 3476910 4056395 4172292 4867674 5215365 6349140 6953820 7301511 8112790 9735348 10430730 12169185 14603022 16225580 20861460 24338370 29206044 36507555 48676740 73015110 146030220