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153132030 = 23254339569
BaseRepresentation
bin10010010000010…
…01101111111110
3101200010220122200
421020021233332
5303200211110
623110052330
73536413032
oct1110115776
9350126580
10153132030
11794913a7
124334a0a6
132595768c
14164a21c2
15d69c6c0
hex9209bfe

153132030 has 48 divisors (see below), whose sum is σ = 407412720. Its totient is φ = 39884544.

The previous prime is 153131983. The next prime is 153132037. The reversal of 153132030 is 30231351.

It is a super-2 number, since 2×1531320302 = 46898837223841800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 153131994 and 153132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153132037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15915 + ... + 23654.

It is an arithmetic number, because the mean of its divisors is an integer number (8487765).

Almost surely, 2153132030 is an apocalyptic number.

153132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153132030 is an abundant number, since it is smaller than the sum of its proper divisors (254280690).

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

153132030 is a wasteful number, since it uses less digits than its factorization.

153132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39625 (or 39622 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 153132030 is about 12374.6527223999. The cubic root of 153132030 is about 535.0019273812.

Adding to 153132030 its reverse (30231351), we get a palindrome (183363381).

The spelling of 153132030 in words is "one hundred fifty-three million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 39569 79138 118707 197845 237414 356121 395690 593535 712242 1187070 1701467 1780605 3402934 3561210 5104401 8507335 10208802 15313203 17014670 25522005 30626406 51044010 76566015 153132030