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69978720 = 2535759353
BaseRepresentation
bin1000010101111…
…00101001100000
311212200021202110
410022330221200
5120403304340
610535515320
71506544410
oct412745140
9155607673
1069978720
1136557059
121b528b40
1311661c36
149418640
156224680
hex42bca60

69978720 has 192 divisors, whose sum is σ = 256919040. Its totient is φ = 15679488.

The previous prime is 69978707. The next prime is 69978721. The reversal of 69978720 is 2787996.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 69978720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69978721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198064 + ... + 198416.

It is an arithmetic number, because the mean of its divisors is an integer number (1338120).

Almost surely, 269978720 is an apocalyptic number.

69978720 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 69978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128459520).

69978720 is an abundant number, since it is smaller than the sum of its proper divisors (186940320).

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

69978720 is a wasteful number, since it uses less digits than its factorization.

69978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 69978720 is about 8365.3284454348. The cubic root of 69978720 is about 412.0867633905.

The spelling of 69978720 in words is "sixty-nine million, nine hundred seventy-eight thousand, seven hundred twenty".