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2108217920 = 2657438867
BaseRepresentation
bin111110110101000…
…1101101001000000
312102220222120022012
41331222031221000
513304200433140
6545110232052
7103146361634
oct17552155100
95386876265
102108217920
11992041366
124aa055628
13277a07533
1415ddc8dc4
15c513c265
hex7da8da40

2108217920 has 56 divisors (see below), whose sum is σ = 5027517504. Its totient is φ = 842057216.

The previous prime is 2108217893. The next prime is 2108217971. The reversal of 2108217920 is 297128012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233327 + ... + 242193.

Almost surely, 22108217920 is an apocalyptic number.

2108217920 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 2108217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513758752).

2108217920 is an abundant number, since it is smaller than the sum of its proper divisors (2919299584).

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

2108217920 is an equidigital number, since it uses as much as digits as its factorization.

2108217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 2108217920 is about 45915.3342577401. The cubic root of 2108217920 is about 1282.2474188690.

The spelling of 2108217920 in words is "two billion, one hundred eight million, two hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 743 1486 2972 3715 5944 7430 8867 11888 14860 17734 23776 29720 35468 44335 47552 59440 70936 88670 118880 141872 177340 237760 283744 354680 567488 709360 1418720 2837440 6588181 13176362 26352724 32940905 52705448 65881810 105410896 131763620 210821792 263527240 421643584 527054480 1054108960 2108217920