Search a number
-
+
20672906940 = 2233572292929
BaseRepresentation
bin10011010000001100…
…111000011010111100
31222100201201111001000
4103100030320122330
5314314231010230
613255204050300
71331202544500
oct232014703274
958321644030
1020672906940
118849353a64
12400b393990
131c45c1c21a
14100180a300
1580ed8ab60
hex4d03386bc

20672906940 has 432 divisors, whose sum is σ = 77568472800. Its totient is φ = 4557385728.

The previous prime is 20672906921. The next prime is 20672906951. The reversal of 20672906940 is 4960927602.

It is a super-3 number, since 3×206729069403 (a number of 32 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22252396 + ... + 22253324.

It is an arithmetic number, because the mean of its divisors is an integer number (179556650).

Almost surely, 220672906940 is an apocalyptic number.

20672906940 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 20672906940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38784236400).

20672906940 is an abundant number, since it is smaller than the sum of its proper divisors (56895565860).

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

20672906940 is a wasteful number, since it uses less digits than its factorization.

20672906940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20672906940 in words is "twenty billion, six hundred seventy-two million, nine hundred six thousand, nine hundred forty".