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534211100 = 225267711123
BaseRepresentation
bin11111110101110…
…110101000011100
31101020012201212022
4133311312220130
52043224223400
6125001555312
716144501523
oct3765665034
91336181768
10534211100
11254603785
1212aaa5b38
13868a2a57
1450d3d4ba
1531d74b85
hex1fd76a1c

534211100 has 72 divisors (see below), whose sum is σ = 1194173568. Its totient is φ = 207345600.

The previous prime is 534211063. The next prime is 534211103. The reversal of 534211100 is 1112435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534211103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475139 + ... + 476261.

It is an arithmetic number, because the mean of its divisors is an integer number (16585744).

Almost surely, 2534211100 is an apocalyptic number.

534211100 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 534211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597086784).

534211100 is an abundant number, since it is smaller than the sum of its proper divisors (659962468).

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

534211100 is a wasteful number, since it uses less digits than its factorization.

534211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 534211100 is about 23113.0071604714. The cubic root of 534211100 is about 811.4049184084.

Adding to 534211100 its reverse (1112435), we get a palindrome (535323535).

The spelling of 534211100 in words is "five hundred thirty-four million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 71 100 134 142 268 284 335 355 670 710 1123 1340 1420 1675 1775 2246 3350 3550 4492 4757 5615 6700 7100 9514 11230 19028 22460 23785 28075 47570 56150 75241 79733 95140 112300 118925 150482 159466 237850 300964 318932 376205 398665 475700 752410 797330 1504820 1594660 1881025 1993325 3762050 3986650 5342111 7524100 7973300 10684222 21368444 26710555 53421110 106842220 133552775 267105550 534211100