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20870922240 = 2163357337
BaseRepresentation
bin10011011100000000…
…010000000000000000
31222212112022200222000
4103130000100000000
5320220424002430
613331000144000
71336125624540
oct233400200000
958775280860
1020870922240
118940100873
124065768000
131c77c6003c
14101dc33320
15822451e60
hex4dc010000

20870922240 has 544 divisors, whose sum is σ = 85059836160. Its totient is φ = 4756340736.

The previous prime is 20870922211. The next prime is 20870922283. The reversal of 20870922240 is 4222907802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20870922195 and 20870922204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931352 + ... + 61931688.

Almost surely, 220870922240 is an apocalyptic number.

20870922240 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 20870922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42529918080).

20870922240 is an abundant number, since it is smaller than the sum of its proper divisors (64188913920).

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

20870922240 is an frugal number, since it uses more digits than its factorization.

20870922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20870922240 in words is "twenty billion, eight hundred seventy million, nine hundred twenty-two thousand, two hundred forty".