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69263040 = 2635711937
BaseRepresentation
bin1000010000011…
…01111011000000
311211022221000210
410020031323000
5120212404130
610512314120
71500504030
oct410157300
9154287023
1069263040
1136108390
121b242940
1311471262
1492ad8c0
1561325b0
hex420dec0

69263040 has 224 divisors, whose sum is σ = 274466304. Its totient is φ = 14376960.

The previous prime is 69263027. The next prime is 69263041. The reversal of 69263040 is 4036296.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 69262989 and 69263007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69263041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73452 + ... + 74388.

It is an arithmetic number, because the mean of its divisors is an integer number (1225296).

Almost surely, 269263040 is an apocalyptic number.

69263040 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 69263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137233152).

69263040 is an abundant number, since it is smaller than the sum of its proper divisors (205203264).

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

69263040 is a wasteful number, since it uses less digits than its factorization.

69263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 69263040 is about 8322.4419493319. The cubic root of 69263040 is about 410.6771281606.

The spelling of 69263040 in words is "sixty-nine million, two hundred sixty-three thousand, forty".