Search a number
-
+
148051410 = 235134147197
BaseRepresentation
bin10001101001100…
…01010111010010
3101022120210100120
420310301113102
5300400121120
622405131110
73445262523
oct1064612722
9338523316
10148051410
1176631241
12416b9a96
1324898cb0
141593c84a
15cee7140
hex8d315d2

148051410 has 128 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 34621440.

The previous prime is 148051403. The next prime is 148051417. The reversal of 148051410 is 14150841.

It is an interprime number because it is at equal distance from previous prime (148051403) and next prime (148051417).

It is not an unprimeable number, because it can be changed into a prime (148051417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 751432 + ... + 751628.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2148051410 is an apocalyptic number.

148051410 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 148051410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

148051410 is an abundant number, since it is smaller than the sum of its proper divisors (254309934).

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

148051410 is a wasteful number, since it uses less digits than its factorization.

148051410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 148051410 is about 12167.6378151225. The cubic root of 148051410 is about 529.0184872333.

The spelling of 148051410 in words is "one hundred forty-eight million, fifty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 47 65 78 82 94 123 130 141 195 197 205 235 246 282 390 394 410 470 533 591 611 615 705 985 1066 1182 1222 1230 1410 1599 1833 1927 1970 2561 2665 2955 3055 3198 3666 3854 5122 5330 5781 5910 6110 7683 7995 8077 9165 9259 9635 11562 12805 15366 15990 16154 18330 18518 19270 24231 25051 25610 27777 28905 38415 40385 46295 48462 50102 55554 57810 75153 76830 80770 92590 105001 120367 121155 125255 138885 150306 210002 240734 242310 250510 277770 315003 361101 375765 379619 525005 601835 630006 722202 751530 759238 1050010 1138857 1203670 1575015 1805505 1898095 2277714 3150030 3611010 3796190 4935047 5694285 9870094 11388570 14805141 24675235 29610282 49350470 74025705 148051410