Search a number
-
+
209694240 = 25325771293
BaseRepresentation
bin11000111111110…
…10111000100000
3112121120120102100
430133322320200
5412140203430
632450250400
75124241320
oct1437727040
9477516370
10209694240
11a8404428
125a286a00
133459c942
141dbc7280
1513621960
hexc7fae20

209694240 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 47093760.

The previous prime is 209694223. The next prime is 209694343. The reversal of 209694240 is 42496902.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 209694195 and 209694204.

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, 715534 + ... + 715826.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2209694240 is an apocalyptic number.

209694240 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 209694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

209694240 is an abundant number, since it is smaller than the sum of its proper divisors (622462176).

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

209694240 is a wasteful number, since it uses less digits than its factorization.

209694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 209694240 is about 14480.8231810212. The cubic root of 209694240 is about 594.1035768094.

The spelling of 209694240 in words is "two hundred nine million, six hundred ninety-four thousand, two hundred forty".