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153231520 = 25513233203
BaseRepresentation
bin10010010001000…
…10000010100000
3101200022222010111
421020202002200
5303211402040
623112141104
73540306061
oct1110420240
9350288114
10153231520
117954a122
1243397794
1325990a50
14164ca568
15d6bbdea
hex92220a0

153231520 has 96 divisors (see below), whose sum is σ = 406933632. Its totient is φ = 54100992.

The previous prime is 153231517. The next prime is 153231521. The reversal of 153231520 is 25132351.

153231520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153231491 and 153231500.

It is not an unprimeable number, because it can be changed into a prime (153231521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46239 + ... + 49441.

It is an arithmetic number, because the mean of its divisors is an integer number (4238892).

Almost surely, 2153231520 is an apocalyptic number.

153231520 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 153231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203466816).

153231520 is an abundant number, since it is smaller than the sum of its proper divisors (253702112).

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

153231520 is a wasteful number, since it uses less digits than its factorization.

153231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 153231520 is about 12378.6719804670. The cubic root of 153231520 is about 535.1177660219.

Adding to 153231520 its reverse (25132351), we get a palindrome (178363871).

The spelling of 153231520 in words is "one hundred fifty-three million, two hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3203 3680 4784 5980 6406 9568 11960 12812 16015 23920 25624 32030 41639 47840 51248 64060 73669 83278 102496 128120 147338 166556 208195 256240 294676 333112 368345 416390 512480 589352 666224 736690 832780 957697 1178704 1332448 1473380 1665560 1915394 2357408 2946760 3331120 3830788 4788485 5893520 6662240 7661576 9576970 11787040 15323152 19153940 30646304 38307880 76615760 153231520