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2869903960 = 2357111759929
BaseRepresentation
bin1010101100001111…
…0100001001011000
321102000020020010021
42223003310021120
521334143411320
61152440000224
7131055531640
oct25303641130
97360206107
102869903960
111242a93360
12681160074
13369764131
141d321d520
1511be46daa
hexab0f4258

2869903960 has 256 divisors, whose sum is σ = 8678016000. Its totient is φ = 826736640.

The previous prime is 2869903931. The next prime is 2869903961. The reversal of 2869903960 is 693099682.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2869903898 and 2869903907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2869903961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3088776 + ... + 3089704.

It is an arithmetic number, because the mean of its divisors is an integer number (33898500).

Almost surely, 22869903960 is an apocalyptic number.

2869903960 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 2869903960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339008000).

2869903960 is an abundant number, since it is smaller than the sum of its proper divisors (5808112040).

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

2869903960 is a wasteful number, since it uses less digits than its factorization.

2869903960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 2869903960 is about 53571.4845790183. The cubic root of 2869903960 is about 1421.0928504402.

The spelling of 2869903960 in words is "two billion, eight hundred sixty-nine million, nine hundred three thousand, nine hundred sixty".