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2047109920 = 25531740361
BaseRepresentation
bin111101000000100…
…0110101100100000
312021122222221212221
41322001012230200
513143030004140
6535044400424
7101505101332
oct17201065440
95248887787
102047109920
119605a3a89
124916a6114
1326816015b
14155c3d452
15beabb14a
hex7a046b20

2047109920 has 48 divisors (see below), whose sum is σ = 4851673848. Its totient is φ = 816240640.

The previous prime is 2047109887. The next prime is 2047109929. The reversal of 2047109920 is 299017402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1677393936 + 369715984 = 40956^2 + 19228^2 .

It is not an unprimeable number, because it can be changed into a prime (2047109929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30540 + ... + 70900.

Almost surely, 22047109920 is an apocalyptic number.

2047109920 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 2047109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425836924).

2047109920 is an abundant number, since it is smaller than the sum of its proper divisors (2804563928).

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

2047109920 is a wasteful number, since it uses less digits than its factorization.

2047109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40693 (or 40685 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2047109920 is about 45244.9988396508. The cubic root of 2047109920 is about 1269.7368417482.

The spelling of 2047109920 in words is "two billion, forty-seven million, one hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 317 634 1268 1585 2536 3170 5072 6340 10144 12680 25360 40361 50720 80722 161444 201805 322888 403610 645776 807220 1291552 1614440 3228880 6457760 12794437 25588874 51177748 63972185 102355496 127944370 204710992 255888740 409421984 511777480 1023554960 2047109920