Search a number
-
+
69984064 = 261139677
BaseRepresentation
bin1000010101111…
…01111101000000
311212200120002101
410022331331000
5120403442224
610540000144
71506566113
oct412757500
9155616071
1069984064
1136560077
121b530054
13116644b7
14941a57a
156226044
hex42bdf40

69984064 has 28 divisors (see below), whose sum is σ = 140118084. Its totient is φ = 34678784.

The previous prime is 69984059. The next prime is 69984067. The reversal of 69984064 is 46048996.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 50694400 = 4392^2 + 7120^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69984067) 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 3 ways as a sum of consecutive naturals, for example, 2394 + ... + 12070.

Almost surely, 269984064 is an apocalyptic number.

69984064 is a gapful number since it is divisible by the number (64) 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 69984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70059042).

69984064 is an abundant number, since it is smaller than the sum of its proper divisors (70134020).

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

69984064 is a wasteful number, since it uses less digits than its factorization.

69984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 69984064 is about 8365.6478529759. The cubic root of 69984064 is about 412.0972529394.

The spelling of 69984064 in words is "sixty-nine million, nine hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 7232 9677 19354 38708 77416 154832 309664 619328 1093501 2187002 4374004 8748008 17496016 34992032 69984064