Search a number
-
+
20973819240 = 23345111095399
BaseRepresentation
bin10011100010001000…
…110001010101101000
32000010200221102010000
4103202020301111220
5320423244203430
613345113423000
71341515344023
oct234210612550
960120842100
1020973819240
1189931a0910
12409410aa60
131c9337933a
14102d77a1ba
1582b4c9e60
hex4e2231568

20973819240 has 320 divisors, whose sum is σ = 77623920000. Its totient is φ = 5036981760.

The previous prime is 20973819233. The next prime is 20973819253. The reversal of 20973819240 is 4291837902.

20973819240 is a `hidden beast` number, since 20 + 9 + 7 + 381 + 9 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3882061 + ... + 3887459.

It is an arithmetic number, because the mean of its divisors is an integer number (242574750).

Almost surely, 220973819240 is an apocalyptic number.

20973819240 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 20973819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811960000).

20973819240 is an abundant number, since it is smaller than the sum of its proper divisors (56650100760).

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

20973819240 is a wasteful number, since it uses less digits than its factorization.

20973819240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20973819240 in words is "twenty billion, nine hundred seventy-three million, eight hundred nineteen thousand, two hundred forty".