Search a number
-
+
148232000 = 265372647
BaseRepresentation
bin10001101010111…
…01011101000000
3101022220222002002
420311131131000
5300421411000
622413043132
73446644160
oct1065353500
9338828062
10148232000
1176744994
12417864a8
1324930257
14159885a0
15d0308d5
hex8d5d740

148232000 has 112 divisors (see below), whose sum is σ = 419697408. Its totient is φ = 50803200.

The previous prime is 148231999. The next prime is 148232017. The reversal of 148232000 is 232841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54677 + ... + 57323.

Almost surely, 2148232000 is an apocalyptic number.

148232000 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 148232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209848704).

148232000 is an abundant number, since it is smaller than the sum of its proper divisors (271465408).

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

148232000 is an equidigital number, since it uses as much as digits as its factorization.

148232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 148232000 is about 12175.0564680415. The cubic root of 148232000 is about 529.2334950491.

Adding to 148232000 its reverse (232841), we get a palindrome (148464841).

The spelling of 148232000 in words is "one hundred forty-eight million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2647 2800 3500 4000 5294 5600 7000 8000 10588 11200 13235 14000 18529 21176 26470 28000 37058 42352 52940 56000 66175 74116 84704 92645 105880 132350 148232 169408 185290 211760 264700 296464 330875 370580 423520 463225 529400 592928 661750 741160 847040 926450 1058800 1185856 1323500 1482320 1852900 2117600 2316125 2647000 2964640 3705800 4235200 4632250 5294000 5929280 7411600 9264500 10588000 14823200 18529000 21176000 29646400 37058000 74116000 148232000