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153240318 = 232711110563
BaseRepresentation
bin10010010001001…
…00001011111110
3101200100102012100
421020210023332
5303212142233
623112245530
73540343530
oct1110441376
9350312170
10153240318
11795557a0
12433a08a6
1325994a5a
14164cd850
15d6be813
hex92242fe

153240318 has 48 divisors (see below), whose sum is σ = 413951616. Its totient is φ = 39802320.

The previous prime is 153240313. The next prime is 153240319. The reversal of 153240318 is 813042351.

It is a happy number.

It is a super-2 number, since 2×1532403182 = 46965190121482248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153240291 and 153240300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153240313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53896 + ... + 56667.

It is an arithmetic number, because the mean of its divisors is an integer number (8623992).

Almost surely, 2153240318 is an apocalyptic number.

153240318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

153240318 is an abundant number, since it is smaller than the sum of its proper divisors (260711298).

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

153240318 is a wasteful number, since it uses less digits than its factorization.

153240318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110589 (or 110586 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153240318 is about 12379.0273446665. The cubic root of 153240318 is about 535.1280073352.

Adding to 153240318 its reverse (813042351), we get a palindrome (966282669).

It can be divided in two parts, 153 and 240318, that added together give a triangular number (240471 = T693).

The spelling of 153240318 in words is "one hundred fifty-three million, two hundred forty thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 110563 221126 331689 663378 773941 995067 1216193 1547882 1990134 2321823 2432386 3648579 4643646 6965469 7297158 8513351 10945737 13930938 17026702 21891474 25540053 51080106 76620159 153240318