Search a number
-
+
153159200 = 2552191449
BaseRepresentation
bin10010010000100…
…00011000100000
3101200012021220222
421020100120200
5303202043300
623110422212
73536555165
oct1110203040
9350167828
10153159200
11794aa857
1243361968
1325966b5c
14164ac06c
15d6a5785
hex9210620

153159200 has 36 divisors (see below), whose sum is σ = 373901850. Its totient is φ = 61263360.

The previous prime is 153159197. The next prime is 153159233. The reversal of 153159200 is 2951351.

It can be written as a sum of positive squares in 3 ways, for example, as 66520336 + 86638864 = 8156^2 + 9308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 153159200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94925 + ... + 96524.

Almost surely, 2153159200 is an apocalyptic number.

153159200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153159200 is an abundant number, since it is smaller than the sum of its proper divisors (220742650).

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

153159200 is a wasteful number, since it uses less digits than its factorization.

153159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191469 (or 191456 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 153159200 is about 12375.7504822940. The cubic root of 153159200 is about 535.0335670557.

The spelling of 153159200 in words is "one hundred fifty-three million, one hundred fifty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 191449 382898 765796 957245 1531592 1914490 3063184 3828980 4786225 6126368 7657960 9572450 15315920 19144900 30631840 38289800 76579600 153159200