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2107194240 = 273519471229
BaseRepresentation
bin111110110011001…
…0011101110000000
312102212001120002010
41331212103232000
513303420203430
6545032252520
7103134566304
oct17546235600
95385046063
102107194240
11991502248
124a9841140
132777395c8
1415dbddd04
15c4ed8cb0
hex7d993b80

2107194240 has 256 divisors, whose sum is σ = 7226496000. Its totient is φ = 520593408.

The previous prime is 2107194223. The next prime is 2107194241. The reversal of 2107194240 is 424917012.

2107194240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2107194198 and 2107194207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107194241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713946 + ... + 1715174.

It is an arithmetic number, because the mean of its divisors is an integer number (28228500).

Almost surely, 22107194240 is an apocalyptic number.

2107194240 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 2107194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613248000).

2107194240 is an abundant number, since it is smaller than the sum of its proper divisors (5119301760).

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

2107194240 is a wasteful number, since it uses less digits than its factorization.

2107194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2107194240 is about 45904.1854300891. The cubic root of 2107194240 is about 1282.0398464709.

The spelling of 2107194240 in words is "two billion, one hundred seven million, one hundred ninety-four thousand, two hundred forty".