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100240820 = 22529172829
BaseRepresentation
bin1011111100110…
…00110110110100
320222121202112222
411332120312310
5201130201240
613540301512
72325014201
oct576306664
9228552488
10100240820
1151646459
12296a1898
13179c92c4
14d454ca8
158c00eb5
hex5f98db4

100240820 has 24 divisors (see below), whose sum is σ = 217765800. Its totient is φ = 38713472.

The previous prime is 100240787. The next prime is 100240879. The reversal of 100240820 is 28042001.

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 100240144 = 26^2 + 10012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85835 + ... + 86994.

It is an arithmetic number, because the mean of its divisors is an integer number (9073575).

Almost surely, 2100240820 is an apocalyptic number.

100240820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100240820 is an abundant number, since it is smaller than the sum of its proper divisors (117524980).

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

100240820 is a wasteful number, since it uses less digits than its factorization.

100240820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172867 (or 172865 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 100240820 is about 10012.0337594317. The cubic root of 100240820 is about 464.5311804734.

Adding to 100240820 its reverse (28042001), we get a palindrome (128282821).

The spelling of 100240820 in words is "one hundred million, two hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 172829 345658 691316 864145 1728290 3456580 5012041 10024082 20048164 25060205 50120410 100240820