Search a number
-
+
920940100 = 22529209401
BaseRepresentation
bin110110111001000…
…110111001000100
32101011220121022121
4312321012321010
53341230040400
6231214535324
731551601363
oct6671067104
92334817277
10920940100
11432934a23
12218507544
13118a48992
148a44b7da
1555cb621a
hex36e46e44

920940100 has 18 divisors (see below), whose sum is σ = 1998440234. Its totient is φ = 368376000.

The previous prime is 920940071. The next prime is 920940103. The reversal of 920940100 is 1049029.

920940100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 788544 + 920151556 = 888^2 + 30334^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (920940103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4604601 + ... + 4604800.

Almost surely, 2920940100 is an apocalyptic number.

It is an amenable number.

920940100 is an abundant number, since it is smaller than the sum of its proper divisors (1077500134).

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

920940100 is a wasteful number, since it uses less digits than its factorization.

920940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209415 (or 9209408 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 920940100 is about 30346.9949088868. The cubic root of 920940100 is about 972.9199927031.

Adding to 920940100 its reverse (1049029), we get a palindrome (921989129).

The spelling of 920940100 in words is "nine hundred twenty million, nine hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9209401 18418802 36837604 46047005 92094010 184188020 230235025 460470050 920940100