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534153100 = 2252132511637
BaseRepresentation
bin11111110101101…
…000011110001100
31101020002210022011
4133311220132030
52043220344400
6125000431004
716144140445
oct3765503614
91336083264
10534153100
11254574148
1212aa78464
1386882530
1450d262cc
1531d628ba
hex1fd6878c

534153100 has 72 divisors (see below), whose sum is σ = 1254013488. Its totient is φ = 196320000.

The previous prime is 534153091. The next prime is 534153121. The reversal of 534153100 is 1351435.

It is a happy number.

It is a super-2 number, since 2×5341531002 = 570639068479220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325482 + ... + 327118.

It is an arithmetic number, because the mean of its divisors is an integer number (17416854).

Almost surely, 2534153100 is an apocalyptic number.

534153100 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 534153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627006744).

534153100 is an abundant number, since it is smaller than the sum of its proper divisors (719860388).

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

534153100 is a wasteful number, since it uses less digits than its factorization.

534153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 534153100 is about 23111.7524216577. The cubic root of 534153100 is about 811.3755522468.

The spelling of 534153100 in words is "five hundred thirty-four million, one hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 251 260 325 502 650 1004 1255 1300 1637 2510 3263 3274 5020 6275 6526 6548 8185 12550 13052 16315 16370 21281 25100 32630 32740 40925 42562 65260 81575 81850 85124 106405 163150 163700 212810 326300 410887 425620 532025 821774 1064050 1643548 2054435 2128100 4108870 5341531 8217740 10272175 10683062 20544350 21366124 26707655 41088700 53415310 106830620 133538275 267076550 534153100