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153450 = 232521131
BaseRepresentation
bin100101011101101010
321210111100
4211131222
514402300
63142230
71206243
oct453552
9253440
10153450
11a5320
1274976
1354acb
143dcca
1530700
hex2576a

153450 has 72 divisors (see below), whose sum is σ = 464256. Its totient is φ = 36000.

The previous prime is 153449. The next prime is 153457. The reversal of 153450 is 54351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (153457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4935 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

153450 is a Friedman number, since it can be written as 30*5*(4^5-1), using all its digits and the basic arithmetic operations.

2153450 is an apocalyptic number.

153450 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 153450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128).

153450 is an abundant number, since it is smaller than the sum of its proper divisors (310806).

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

153450 is a wasteful number, since it uses less digits than its factorization.

153450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 153450 is about 391.7269457160. The cubic root of 153450 is about 53.5371971789.

Subtracting from 153450 its reverse (54351), we obtain a palindrome (99099).

The spelling of 153450 in words is "one hundred fifty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 31 33 45 50 55 62 66 75 90 93 99 110 150 155 165 186 198 225 275 279 310 330 341 450 465 495 550 558 682 775 825 930 990 1023 1395 1550 1650 1705 2046 2325 2475 2790 3069 3410 4650 4950 5115 6138 6975 8525 10230 13950 15345 17050 25575 30690 51150 76725 153450