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20930100 = 2235269767
BaseRepresentation
bin100111111010…
…1111000110100
31110101100200220
41033311320310
520324230400
62024334340
7342621462
oct117657064
943340626
1020930100
11108a6104
1270143b0
13444a899
142acb832
151c867a0
hex13f5e34

20930100 has 36 divisors (see below), whose sum is σ = 60558624. Its totient is φ = 5581280.

The previous prime is 20930099. The next prime is 20930101. The reversal of 20930100 is 103902.

20930100 = 1862 + 1872 + ... + 4102.

It is an interprime number because it is at equal distance from previous prime (20930099) and next prime (20930101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20930100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20930101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34584 + ... + 35183.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 220930100 is an apocalyptic number.

20930100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20930100 is an abundant number, since it is smaller than the sum of its proper divisors (39628524).

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

20930100 is a wasteful number, since it uses less digits than its factorization.

20930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69784 (or 69777 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 20930100 is about 4574.9426225910. The cubic root of 20930100 is about 275.5859681670.

The spelling of 20930100 in words is "twenty million, nine hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 69767 139534 209301 279068 348835 418602 697670 837204 1046505 1395340 1744175 2093010 3488350 4186020 5232525 6976700 10465050 20930100