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545132000 = 2553719469
BaseRepresentation
bin100000011111100…
…000110111100000
31101222202120112002
4200133200313200
52104023211000
6130032023132
716336355060
oct4037406740
91358676462
10545132000
1125a792816
12132691aa8
1388c2781a
14525833a0
1532cd08d5
hex207e0de0

545132000 has 96 divisors (see below), whose sum is σ = 1530809280. Its totient is φ = 186892800.

The previous prime is 545131957. The next prime is 545132017. The reversal of 545132000 is 231545.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18266 + ... + 37734.

It is an arithmetic number, because the mean of its divisors is an integer number (15945930).

Almost surely, 2545132000 is an apocalyptic number.

545132000 is a gapful number since it is divisible by the number (50) 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 545132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765404640).

545132000 is an abundant number, since it is smaller than the sum of its proper divisors (985677280).

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

545132000 is a wasteful number, since it uses less digits than its factorization.

545132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19501 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 545132000 is about 23348.0620180776. The cubic root of 545132000 is about 816.8968576893.

Adding to 545132000 its reverse (231545), we get a palindrome (545363545).

The spelling of 545132000 in words is "five hundred forty-five 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 19469 28000 38938 77876 97345 136283 155752 194690 272566 311504 389380 486725 545132 623008 681415 778760 973450 1090264 1362830 1557520 1946900 2180528 2433625 2725660 3115040 3407075 3893800 4361056 4867250 5451320 6814150 7787600 9734500 10902640 13628300 15575200 17035375 19469000 21805280 27256600 34070750 38938000 54513200 68141500 77876000 109026400 136283000 272566000 545132000