Search a number
-
+
20935885320 = 23345729139229
BaseRepresentation
bin10011011111111000…
…000100001000001000
32000001001120011120000
4103133320010020020
5320334041312240
613341240403000
71340545042350
oct233770041010
960031504500
1020935885320
118973841569
124083476460
131c8855702c
141028703b60
15827ed5430
hex4dfe04208

20935885320 has 640 divisors, whose sum is σ = 84157920000. Its totient is φ = 4567062528.

The previous prime is 20935885283. The next prime is 20935885403. The reversal of 20935885320 is 2358853902.

20935885320 is a `hidden beast` number, since 2 + 0 + 9 + 35 + 88 + 532 + 0 = 666.

It is a super-2 number, since 2×209358853202 (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 91422966 + ... + 91423194.

It is an arithmetic number, because the mean of its divisors is an integer number (131496750).

Almost surely, 220935885320 is an apocalyptic number.

20935885320 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 20935885320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42078960000).

20935885320 is an abundant number, since it is smaller than the sum of its proper divisors (63222034680).

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

20935885320 is a wasteful number, since it uses less digits than its factorization.

20935885320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20935885320 in words is "twenty billion, nine hundred thirty-five million, eight hundred eighty-five thousand, three hundred twenty".