Search a number
-
+
1553132000 = 2553755469
BaseRepresentation
bin101110010010010…
…1110100111100000
311000020111021120102
41130210232213200
511140100211000
6414041001532
753326255430
oct13444564740
94006437512
101553132000
11727780072
123741832a8
131b9a06124
1410a3b42c0
15915423d5
hex5c92e9e0

1553132000 has 96 divisors (see below), whose sum is σ = 4361273280. Its totient is φ = 532492800.

The previous prime is 1553131997. The next prime is 1553132039. The reversal of 1553132000 is 2313551.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266 + ... + 55734.

It is an arithmetic number, because the mean of its divisors is an integer number (45429930).

Almost surely, 21553132000 is an apocalyptic number.

1553132000 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 1553132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180636640).

1553132000 is an abundant number, since it is smaller than the sum of its proper divisors (2808141280).

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

1553132000 is an equidigital number, since it uses as much as digits as its factorization.

1553132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55501 (or 55483 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1553132000 is about 39409.7957365932. The cubic root of 1553132000 is about 1158.0734966869.

Adding to 1553132000 its reverse (2313551), we get a palindrome (1555445551).

The spelling of 1553132000 in words is "one billion, five hundred fifty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 55469 110938 221876 277345 388283 443752 554690 776566 887504 1109380 1386725 1553132 1775008 1941415 2218760 2773450 3106264 3882830 4437520 5546900 6212528 6933625 7765660 8875040 9707075 11093800 12425056 13867250 15531320 19414150 22187600 27734500 31062640 38828300 44375200 48535375 55469000 62125280 77656600 97070750 110938000 155313200 194141500 221876000 310626400 388283000 776566000 1553132000