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2069917920 = 253257297397
BaseRepresentation
bin111101101100000…
…0111000011100000
312100020220201120200
41323120013003200
513214344333140
6541221305200
7102203004060
oct17330070340
95306821520
102069917920
11972461a74
12499265200
1326cab7705
14158c993a0
15c1ac4030
hex7b6070e0

2069917920 has 576 divisors, whose sum is σ = 8552718720. Its totient is φ = 445906944.

The previous prime is 2069917919. The next prime is 2069917933. The reversal of 2069917920 is 297199602.

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 95 ways as a sum of consecutive naturals, for example, 21339312 + ... + 21339408.

It is an arithmetic number, because the mean of its divisors is an integer number (14848470).

Almost surely, 22069917920 is an apocalyptic number.

2069917920 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 2069917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276359360).

2069917920 is an abundant number, since it is smaller than the sum of its proper divisors (6482800800).

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

2069917920 is a wasteful number, since it uses less digits than its factorization.

2069917920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 2069917920 is about 45496.3506228796. The cubic root of 2069917920 is about 1274.4350530563.

The spelling of 2069917920 in words is "two billion, sixty-nine million, nine hundred seventeen thousand, nine hundred twenty".