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153246128 = 2472593313
BaseRepresentation
bin10010010001001…
…01100110110000
3101200100201011112
421020211212300
5303212334003
623112332452
73540366500
oct1110454660
9350321145
10153246128
117955a0a2
12433a4128
13259975a9
14164d1a00
15d6c13d8
hex92259b0

153246128 has 60 divisors (see below), whose sum is σ = 351350280. Its totient is φ = 64544256.

The previous prime is 153246101. The next prime is 153246139. The reversal of 153246128 is 821642351.

It is a junction number, because it is equal to n+sod(n) for n = 153246094 and 153246103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44600 + ... + 47912.

It is an arithmetic number, because the mean of its divisors is an integer number (5855838).

Almost surely, 2153246128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153246128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175675140).

153246128 is an abundant number, since it is smaller than the sum of its proper divisors (198104152).

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

153246128 is a wasteful number, since it uses less digits than its factorization.

153246128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3381 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 153246128 is about 12379.2620135451. The cubic root of 153246128 is about 535.1347702517.

Adding to 153246128 its reverse (821642351), we get a palindrome (974888479).

The spelling of 153246128 in words is "one hundred fifty-three million, two hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 3313 5782 6608 6626 11564 13252 23128 23191 26504 46256 46382 53008 92764 162337 185528 195467 324674 371056 390934 649348 781868 1298696 1368269 1563736 2597392 2736538 3127472 5473076 9577883 10946152 19155766 21892304 38311532 76623064 153246128