Search a number
-
+
534051100 = 2252112931657
BaseRepresentation
bin11111110101001…
…111100100011100
31101012220121101101
4133311033210130
52043204113400
6124554322444
716143234202
oct3765174434
91335817341
10534051100
11254504550
1212aa29424
1386847c8b
1450cdb072
1531d4256a
hex1fd4f91c

534051100 has 72 divisors (see below), whose sum is σ = 1269325008. Its totient is φ = 193420800.

The previous prime is 534051047. The next prime is 534051101. The reversal of 534051100 is 1150435.

It is a super-2 number, since 2×5340511002 = 570421154822420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534051101) 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, 321472 + ... + 323128.

It is an arithmetic number, because the mean of its divisors is an integer number (17629514).

Almost surely, 2534051100 is an apocalyptic number.

534051100 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 534051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634662504).

534051100 is an abundant number, since it is smaller than the sum of its proper divisors (735273908).

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

534051100 is a wasteful number, since it uses less digits than its factorization.

534051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 534051100 is about 23109.5456467668. The cubic root of 534051100 is about 811.3239031505.

The spelling of 534051100 in words is "five hundred thirty-four million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 550 586 1100 1172 1465 1657 2930 3223 3314 5860 6446 6628 7325 8285 12892 14650 16115 16570 18227 29300 32230 33140 36454 41425 64460 72908 80575 82850 91135 161150 165700 182270 322300 364540 455675 485501 911350 971002 1822700 1942004 2427505 4855010 5340511 9710020 10681022 12137525 21362044 24275050 26702555 48550100 53405110 106810220 133512775 267025550 534051100