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153131120 = 2451914139
BaseRepresentation
bin10010010000010…
…01100001110000
3101200010212101222
421020021201300
5303200143440
623110044212
73536410262
oct1110114160
9350125358
10153131120
117949074a
1243349668
132595713c
14164a1b32
15d69c2b5
hex9209870

153131120 has 20 divisors (see below), whose sum is σ = 356030040. Its totient is φ = 61252416.

The previous prime is 153131119. The next prime is 153131129. The reversal of 153131120 is 21131351.

153131120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153131129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 956990 + ... + 957149.

It is an arithmetic number, because the mean of its divisors is an integer number (17801502).

Almost surely, 2153131120 is an apocalyptic number.

153131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153131120 is an abundant number, since it is smaller than the sum of its proper divisors (202898920).

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

153131120 is a wasteful number, since it uses less digits than its factorization.

153131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914152 (or 1914146 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 153131120 is about 12374.6159536367. The cubic root of 153131120 is about 535.0008676144. Note that the first 3 decimals are identical.

Adding to 153131120 its reverse (21131351), we get a palindrome (174262471).

The spelling of 153131120 in words is "one hundred fifty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1914139 3828278 7656556 9570695 15313112 19141390 30626224 38282780 76565560 153131120