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153132350 = 252738929
BaseRepresentation
bin10010010000010…
…01110100111110
3101200010221002112
421020021310332
5303200213400
623110054022
73536414000
oct1110116476
9350127075
10153132350
1179491668
124334a312
1325957877
14164a2370
15d69c835
hex9209d3e

153132350 has 48 divisors (see below), whose sum is σ = 332196000. Its totient is φ = 52496640.

The previous prime is 153132347. The next prime is 153132359. The reversal of 153132350 is 53231351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153132359) 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, 12686 + ... + 21614.

It is an arithmetic number, because the mean of its divisors is an integer number (6920750).

Almost surely, 2153132350 is an apocalyptic number.

153132350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153132350 is an abundant number, since it is smaller than the sum of its proper divisors (179063650).

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

153132350 is an equidigital number, since it uses as much as digits as its factorization.

153132350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 153132350 is about 12374.6656520489. The cubic root of 153132350 is about 535.0023000454.

Subtracting from 153132350 its reverse (53231351), we obtain a palindrome (99900999).

The spelling of 153132350 in words is "one hundred fifty-three million, one hundred thirty-two thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 686 1225 1715 2450 3430 8575 8929 17150 17858 44645 62503 89290 125006 223225 312515 437521 446450 625030 875042 1562575 2187605 3062647 3125150 4375210 6125294 10938025 15313235 21876050 30626470 76566175 153132350