Search a number
-
+
149591130 = 23513478161
BaseRepresentation
bin10001110101010…
…01010001011010
3101102111000110020
420322221101122
5301243404010
622502131310
73464334513
oct1072512132
9342430406
10149591130
1177493037
1242120b36
1324cb7a80
1415c1da0a
15d1ed470
hex8ea945a

149591130 has 64 divisors (see below), whose sum is σ = 394910208. Its totient is φ = 36034560.

The previous prime is 149591129. The next prime is 149591153. The reversal of 149591130 is 31195941.

It is a junction number, because it is equal to n+sod(n) for n = 149591091 and 149591100.

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 31 ways as a sum of consecutive naturals, for example, 14250 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (6170472).

Almost surely, 2149591130 is an apocalyptic number.

149591130 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 149591130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197455104).

149591130 is an abundant number, since it is smaller than the sum of its proper divisors (245319078).

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

149591130 is a wasteful number, since it uses less digits than its factorization.

149591130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231.

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 149591130 is about 12230.7452757385. The cubic root of 149591130 is about 530.8460794969.

It can be divided in two parts, 1495911 and 30, that added together give a palindrome (1495941).

The spelling of 149591130 in words is "one hundred forty-nine million, five hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1833 3055 3666 6110 8161 9165 16322 18330 24483 40805 48966 81610 106093 122415 212186 244830 318279 383567 530465 636558 767134 1060930 1150701 1591395 1917835 2301402 3182790 3835670 4986371 5753505 9972742 11507010 14959113 24931855 29918226 49863710 74795565 149591130