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2100939288 = 2337217195531
BaseRepresentation
bin111110100111001…
…1100101000011000
312102102021202220020
41331032130220120
513300320024123
6544250230440
7103030455300
oct17516345030
95372252806
102100939288
11988a1a868
124a7725420
13276359556
1415d052600
15c46a07e3
hex7d39ca18

2100939288 has 192 divisors, whose sum is σ = 6810998400. Its totient is φ = 535127040.

The previous prime is 2100939263. The next prime is 2100939293. The reversal of 2100939288 is 8829390012.

2100939288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377083 + ... + 382613.

It is an arithmetic number, because the mean of its divisors is an integer number (35473950).

Almost surely, 22100939288 is an apocalyptic number.

2100939288 is a gapful number since it is divisible by the number (28) 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 2100939288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405499200).

2100939288 is an abundant number, since it is smaller than the sum of its proper divisors (4710059112).

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

2100939288 is a wasteful number, since it uses less digits than its factorization.

2100939288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2100939288 is about 45836.0042761146. The cubic root of 2100939288 is about 1280.7700623451.

The spelling of 2100939288 in words is "two billion, one hundred million, nine hundred thirty-nine thousand, two hundred eighty-eight".