Search a number
-
+
20673783900 = 22365271129127
BaseRepresentation
bin10011010000010000…
…001110100001011100
31222100210101001000000
4103100100032201130
5314314442041100
613255234534300
71331213156310
oct232020164134
958323331000
1020673783900
1188498a2920
12400b737390
131c46168433
141001997b40
1580eeb0900
hex4d040e85c

20673783900 has 1008 divisors, whose sum is σ = 87434403840. Its totient is φ = 4115059200.

The previous prime is 20673783883. The next prime is 20673783917. The reversal of 20673783900 is 938737602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20673783883) and next prime (20673783917).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 162785637 + ... + 162785763.

It is an arithmetic number, because the mean of its divisors is an integer number (86740480).

Almost surely, 220673783900 is an apocalyptic number.

20673783900 is a gapful number since it is divisible by the number (20) 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 20673783900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43717201920).

20673783900 is an abundant number, since it is smaller than the sum of its proper divisors (66760619940).

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

20673783900 is a wasteful number, since it uses less digits than its factorization.

20673783900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20673783900 in words is "twenty billion, six hundred seventy-three million, seven hundred eighty-three thousand, nine hundred".