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153341320 = 23511379419
BaseRepresentation
bin10010010001111…
…00110110001000
3101200112112202011
421020330312020
5303223410240
623114345304
73541244146
oct1110746610
9350475664
10153341320
1179614670
124342b234
13259cba12
1416518596
15d6de6ea
hex923cd88

153341320 has 64 divisors (see below), whose sum is σ = 386596800. Its totient is φ = 54247680.

The previous prime is 153341317. The next prime is 153341329. The reversal of 153341320 is 23143351.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 153341291 and 153341300.

It is not an unprimeable number, because it can be changed into a prime (153341329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11571 + ... + 20989.

It is an arithmetic number, because the mean of its divisors is an integer number (6040575).

Almost surely, 2153341320 is an apocalyptic number.

153341320 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 153341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193298400).

153341320 is an abundant number, since it is smaller than the sum of its proper divisors (233255480).

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

153341320 is a wasteful number, since it uses less digits than its factorization.

153341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 153341320 is about 12383.1062338979. The cubic root of 153341320 is about 535.2455506583.

Adding to 153341320 its reverse (23143351), we get a palindrome (176484671).

The spelling of 153341320 in words is "one hundred fifty-three million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 9419 16280 18838 37676 47095 75352 94190 103609 188380 207218 348503 376760 414436 518045 697006 828872 1036090 1394012 1742515 2072180 2788024 3485030 3833533 4144360 6970060 7667066 13940120 15334132 19167665 30668264 38335330 76670660 153341320