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69042240 = 2633561131
BaseRepresentation
bin1000001110110…
…00000001000000
311210220201011000
410013120001000
5120133322430
610503452000
71465564221
oct407300100
9153821130
1069042240
1135a77503
121b157000
13113c48c7
149253248
1560dbe60
hex41d8040

69042240 has 224 divisors, whose sum is σ = 249448320. Its totient is φ = 17971200.

The previous prime is 69042229. The next prime is 69042241. The reversal of 69042240 is 4224096.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (69042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526975 + ... + 527105.

Almost surely, 269042240 is an apocalyptic number.

69042240 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 69042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124724160).

69042240 is an abundant number, since it is smaller than the sum of its proper divisors (180406080).

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

69042240 is a wasteful number, since it uses less digits than its factorization.

69042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 69042240 is about 8309.1660231337. The cubic root of 69042240 is about 410.2402716194.

The spelling of 69042240 in words is "sixty-nine million, forty-two thousand, two hundred forty".