Search a number
-
+
146056230 = 23351971401
BaseRepresentation
bin10001011010010…
…10010000100110
3101011211102111000
420231022100212
5244342244410
622254254130
73422312625
oct1055122046
9334742430
10146056230
1175499231
1240ab7346
132434ab08
141557d6bc
15cc50dc0
hex8b4a426

146056230 has 128 divisors (see below), whose sum is σ = 416793600. Its totient is φ = 36288000.

The previous prime is 146056193. The next prime is 146056237. The reversal of 146056230 is 32650641.

146056230 is a `hidden beast` number, since 14 + 60 + 562 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146056194 and 146056203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146056237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 364030 + ... + 364430.

It is an arithmetic number, because the mean of its divisors is an integer number (3256200).

Almost surely, 2146056230 is an apocalyptic number.

146056230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146056230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208396800).

146056230 is an abundant number, since it is smaller than the sum of its proper divisors (270737370).

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

146056230 is a wasteful number, since it uses less digits than its factorization.

146056230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 146056230 is about 12085.3725635580. The cubic root of 146056230 is about 526.6313338650.

The spelling of 146056230 in words is "one hundred forty-six million, fifty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 71 90 95 114 135 142 171 190 213 270 285 342 355 401 426 513 570 639 710 802 855 1026 1065 1203 1278 1349 1710 1917 2005 2130 2406 2565 2698 3195 3609 3834 4010 4047 5130 6015 6390 6745 7218 7619 8094 9585 10827 12030 12141 13490 15238 18045 19170 20235 21654 22857 24282 28471 36090 36423 38095 40470 45714 54135 56942 60705 68571 72846 76190 85413 108270 114285 121410 137142 142355 170826 182115 205713 228570 256239 284710 342855 364230 411426 427065 512478 540949 685710 768717 854130 1028565 1081898 1281195 1537434 1622847 2057130 2562390 2704745 3245694 3843585 4868541 5409490 7687170 8114235 9737082 14605623 16228470 24342705 29211246 48685410 73028115 146056230