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148590 = 232513127
BaseRepresentation
bin100100010001101110
321112211100
4210101232
514223330
63103530
71156131
oct442156
9245740
10148590
11a1702
1271ba6
1352830
143c218
152e060
hex2446e

148590 has 48 divisors (see below), whose sum is σ = 419328. Its totient is φ = 36288.

The previous prime is 148579. The next prime is 148609. The reversal of 148590 is 95841.

148590 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148590.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2148590 is an apocalyptic number.

148590 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 148590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

148590 is an abundant number, since it is smaller than the sum of its proper divisors (270738).

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

148590 is a wasteful number, since it uses less digits than its factorization.

148590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 148590 is about 385.4737345138. The cubic root of 148590 is about 52.9659208947.

The spelling of 148590 in words is "one hundred forty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 195 234 254 381 390 585 635 762 1143 1170 1270 1651 1905 2286 3302 3810 4953 5715 8255 9906 11430 14859 16510 24765 29718 49530 74295 148590