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69982080 = 2735741127
BaseRepresentation
bin1000010101111…
…01011110000000
311212200110100220
410022331132000
5120403411310
610535543040
71506560250
oct412753600
9155613326
1069982080
1136559633
121b52aa80
131166361c
149419960
156225670
hex42bd780

69982080 has 256 divisors, whose sum is σ = 263208960. Its totient is φ = 15482880.

The previous prime is 69982079. The next prime is 69982127. The reversal of 69982080 is 8028996.

It is a super-2 number, since 2×699820802 = 9794983042252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550977 + ... + 551103.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 269982080 is an apocalyptic number.

69982080 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 69982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

69982080 is an abundant number, since it is smaller than the sum of its proper divisors (193226880).

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

69982080 is a wasteful number, since it uses less digits than its factorization.

69982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 69982080 is about 8365.5292719588. The cubic root of 69982080 is about 412.0933586782.

The spelling of 69982080 in words is "sixty-nine million, nine hundred eighty-two thousand, eighty".