Search a number
-
+
2108287440 = 24355715493
BaseRepresentation
bin111110110101001…
…1110100111010000
312102221010002200000
41331222132213100
513304210144230
6545111530000
7103150101420
oct17552364720
95387102600
102108287440
11992089616
124aa089900
13277a3007c
14160006480
15c5152b60
hex7da9e9d0

2108287440 has 240 divisors, whose sum is σ = 8392046208. Its totient is φ = 481863168.

The previous prime is 2108287439. The next prime is 2108287451. The reversal of 2108287440 is 447828012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2108287395 and 2108287404.

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, 128334 + ... + 143826.

Almost surely, 22108287440 is an apocalyptic number.

2108287440 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 2108287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196023104).

2108287440 is an abundant number, since it is smaller than the sum of its proper divisors (6283758768).

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

2108287440 is a wasteful number, since it uses less digits than its factorization.

2108287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15528 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2108287440 is about 45916.0912970606. The cubic root of 2108287440 is about 1282.2615130573.

The spelling of 2108287440 in words is "two billion, one hundred eight million, two hundred eighty-seven thousand, four hundred forty".