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153023232 = 283238663
BaseRepresentation
bin10010001111011…
…11001100000000
3101122221101102010
421013233030000
5303133220412
623103452520
73535450605
oct1107571400
9348841363
10153023232
117941768a
12432b7140
1325919cbb
14164746ac
15d67a33c
hex91ef300

153023232 has 72 divisors (see below), whose sum is σ = 425021184. Its totient is φ = 48784384.

The previous prime is 153023201. The next prime is 153023267. The reversal of 153023232 is 232320351.

It is a super-2 number, since 2×1530232322 = 46832219063451648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153023199 and 153023208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13333 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (5903072).

Almost surely, 2153023232 is an apocalyptic number.

153023232 is a gapful number since it is divisible by the number (12) 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 153023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212510592).

153023232 is an abundant number, since it is smaller than the sum of its proper divisors (271997952).

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

153023232 is an equidigital number, since it uses as much as digits as its factorization.

153023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 153023232 is about 12370.2559391469. The cubic root of 153023232 is about 534.8751937596.

Adding to 153023232 its reverse (232320351), we get a palindrome (385343583).

The spelling of 153023232 in words is "one hundred fifty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8663 8832 17326 17664 25989 34652 51978 69304 103956 138608 199249 207912 277216 398498 415824 554432 597747 796996 831648 1108864 1195494 1593992 1663296 2217728 2390988 3187984 3326592 4781976 6375968 6653184 9563952 12751936 19127904 25503872 38255808 51007744 76511616 153023232