Search a number
-
+
153243200 = 2652118707
BaseRepresentation
bin10010010001001…
…00111001000000
3101200100120011002
421020210321000
5303212240300
623112311132
73540355115
oct1110447100
9350316132
10153243200
1179557980
12433a24a8
1325996166
14164d090c
15d6c05d5
hex9224e40

153243200 has 84 divisors (see below), whose sum is σ = 411400752. Its totient is φ = 55718400.

The previous prime is 153243197. The next prime is 153243239. The reversal of 153243200 is 2342351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13247 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (4897628).

Almost surely, 2153243200 is an apocalyptic number.

153243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205700376).

153243200 is an abundant number, since it is smaller than the sum of its proper divisors (258157552).

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

153243200 is a wasteful number, since it uses less digits than its factorization.

153243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 153243200 is about 12379.1437506800. The cubic root of 153243200 is about 535.1313620425.

Adding to 153243200 its reverse (2342351), we get a palindrome (155585551).

The spelling of 153243200 in words is "one hundred fifty-three million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8707 8800 17414 17600 34828 43535 69656 87070 95777 139312 174140 191554 217675 278624 348280 383108 435350 478885 557248 696560 766216 870700 957770 1393120 1532432 1741400 1915540 2394425 2786240 3064864 3482800 3831080 4788850 6129728 6965600 7662160 9577700 13931200 15324320 19155400 30648640 38310800 76621600 153243200