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2149783440 = 243576771269
BaseRepresentation
bin1000000000100011…
…0001011110010000
312112211012022110220
42000020301132100
513400321032230
6553153153040
7104162600130
oct20010613620
95484168426
102149783440
11a03551132
124bbb5b780
132834cb80c
14165728ac0
15c8aecd10
hex80231790

2149783440 has 320 divisors, whose sum is σ = 7868067840. Its totient is φ = 475453440.

The previous prime is 2149783423. The next prime is 2149783451. The reversal of 2149783440 is 443879412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2149783392 and 2149783401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7991626 + ... + 7991894.

It is an arithmetic number, because the mean of its divisors is an integer number (24587712).

Almost surely, 22149783440 is an apocalyptic number.

2149783440 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 2149783440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934033920).

2149783440 is an abundant number, since it is smaller than the sum of its proper divisors (5718284400).

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

2149783440 is a wasteful number, since it uses less digits than its factorization.

2149783440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2149783440 is about 46365.7571921348. The cubic root of 2149783440 is about 1290.6195449626.

The spelling of 2149783440 in words is "two billion, one hundred forty-nine million, seven hundred eighty-three thousand, four hundred forty".