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69728672 = 2513315407
BaseRepresentation
bin1000010011111…
…11100110100000
311212012120202102
410021333212200
5120322304142
610530305532
71504453406
oct411774640
9155176672
1069728672
11363a6202
121b4282a8
13115a5190
149391476
1561c5532
hex427f9a0

69728672 has 48 divisors (see below), whose sum is σ = 152635392. Its totient is φ = 31138560.

The previous prime is 69728669. The next prime is 69728677. The reversal of 69728672 is 27682796.

It is not an unprimeable number, because it can be changed into a prime (69728677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10193 + ... + 15599.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 269728672 is an apocalyptic number.

69728672 is a gapful number since it is divisible by the number (62) 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 69728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76317696).

69728672 is an abundant number, since it is smaller than the sum of its proper divisors (82906720).

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

69728672 is a wasteful number, since it uses less digits than its factorization.

69728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5453 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 69728672 is about 8350.3695726596. The cubic root of 69728672 is about 411.5953547427.

The spelling of 69728672 in words is "sixty-nine million, seven hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 5407 6448 10814 12896 21628 43256 70291 86512 140582 167617 173024 281164 335234 562328 670468 1124656 1340936 2179021 2249312 2681872 4358042 5363744 8716084 17432168 34864336 69728672