Search a number
-
+
69420960 = 2532577197
BaseRepresentation
bin1000010001101…
…00011110100000
311211121221122200
410020310132200
5120232432320
610515533200
71502032320
oct410643640
9154557580
1069420960
1136205aa4
121b2ba200
13114c80bb
149311280
156164290
hex42347a0

69420960 has 288 divisors, whose sum is σ = 277385472. Its totient is φ = 15482880.

The previous prime is 69420959. The next prime is 69420973. The reversal of 69420960 is 6902496.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715632 + ... + 715728.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 269420960 is an apocalyptic number.

69420960 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 69420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

69420960 is an abundant number, since it is smaller than the sum of its proper divisors (207964512).

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

69420960 is a wasteful number, since it uses less digits than its factorization.

69420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

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

The square root of 69420960 is about 8331.9241475184. The cubic root of 69420960 is about 410.9890064014.

The spelling of 69420960 in words is "sixty-nine million, four hundred twenty thousand, nine hundred sixty".