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69253920 = 25335172341
BaseRepresentation
bin1000010000010…
…11101100100000
311211022110112000
410020023230200
5120212111140
610512204000
71500435321
oct410135440
9154273460
1069253920
113610154a
121b239600
131146a068
1492aa448
15612ea30
hex420bb20

69253920 has 384 divisors, whose sum is σ = 274337280. Its totient is φ = 16220160.

The previous prime is 69253901. The next prime is 69253927. The reversal of 69253920 is 2935296.

It is a super-2 number, since 2×692539202 = 9592210870732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69253927) 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, 1689100 + ... + 1689140.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 269253920 is an apocalyptic number.

69253920 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 69253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

69253920 is an abundant number, since it is smaller than the sum of its proper divisors (205083360).

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

69253920 is a wasteful number, since it uses less digits than its factorization.

69253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 69253920 is about 8321.8940151867. The cubic root of 69253920 is about 410.6591024824.

The spelling of 69253920 in words is "sixty-nine million, two hundred fifty-three thousand, nine hundred twenty".