Search a number
-
+
69206940 = 223351161191
BaseRepresentation
bin1000010000000…
…00001110011100
311211020002002000
410020000032130
5120204110230
610511202300
71500151335
oct410001634
9154202060
1069206940
113607a220
121b216390
131145186a
14929728c
156120b60
hex420039c

69206940 has 192 divisors, whose sum is σ = 239984640. Its totient is φ = 16416000.

The previous prime is 69206939. The next prime is 69206947. The reversal of 69206940 is 4960296.

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 = 69206895 and 69206904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69206947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362245 + ... + 362435.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 269206940 is an apocalyptic number.

69206940 is a gapful number since it is divisible by the number (60) 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 69206940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

69206940 is an abundant number, since it is smaller than the sum of its proper divisors (170777700).

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

69206940 is a wasteful number, since it uses less digits than its factorization.

69206940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 69206940 is about 8319.0708615806. The cubic root of 69206940 is about 410.5662214400.

The spelling of 69206940 in words is "sixty-nine million, two hundred six thousand, nine hundred forty".