Search a number
-
+
100056500 = 2253832411
BaseRepresentation
bin1011111011010…
…11110110110100
320222021101201022
411331223312310
5201103302000
613532320312
72323315625
oct575536664
9228241638
10100056500
115152aa25
1229613098
131796343b
14d407a4c
158bb6585
hex5f6bdb4

100056500 has 48 divisors (see below), whose sum is σ = 221247936. Its totient is φ = 39524000.

The previous prime is 100056479. The next prime is 100056521. The reversal of 100056500 is 5650001.

It is an interprime number because it is at equal distance from previous prime (100056479) and next prime (100056521).

It is a super-2 number, since 2×1000565002 = 20022606384500000, which contains 22 as substring.

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, 40295 + ... + 42705.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2100056500 is an apocalyptic number.

100056500 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 100056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110623968).

100056500 is an abundant number, since it is smaller than the sum of its proper divisors (121191436).

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

100056500 is a wasteful number, since it uses less digits than its factorization.

100056500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 100056500 is about 10002.8246010814. The cubic root of 100056500 is about 464.2462834927.

The spelling of 100056500 in words is "one hundred million, fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 125 166 250 332 415 500 830 1660 2075 2411 4150 4822 8300 9644 10375 12055 20750 24110 41500 48220 60275 120550 200113 241100 301375 400226 602750 800452 1000565 1205500 2001130 4002260 5002825 10005650 20011300 25014125 50028250 100056500