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153132450 = 23521317793
BaseRepresentation
bin10010010000010…
…01110110100010
3101200010221020020
421020021312202
5303200214300
623110054310
73536414202
oct1110116642
9350127206
10153132450
1179491749
124334a396
1325957923
14164a2402
15d69c8a0
hex9209da2

153132450 has 48 divisors (see below), whose sum is σ = 382716576. Its totient is φ = 40518400.

The previous prime is 153132449. The next prime is 153132461. The reversal of 153132450 is 54231351.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 153132450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15754 + ... + 23546.

It is an arithmetic number, because the mean of its divisors is an integer number (7973262).

Almost surely, 2153132450 is an apocalyptic number.

153132450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153132450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191358288).

153132450 is an abundant number, since it is smaller than the sum of its proper divisors (229584126).

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

153132450 is a wasteful number, since it uses less digits than its factorization.

153132450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 153132450 is about 12374.6696925615. The cubic root of 153132450 is about 535.0024165029.

The spelling of 153132450 in words is "one hundred fifty-three million, one hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 655 786 1310 1965 3275 3930 6550 7793 9825 15586 19650 23379 38965 46758 77930 116895 194825 233790 389650 584475 1020883 1168950 2041766 3062649 5104415 6125298 10208830 15313245 25522075 30626490 51044150 76566225 153132450