Search a number
-
+
69138944 = 297101191
BaseRepresentation
bin1000001111011…
…11101000000000
311211002121210122
410013233220000
5120144421234
610505515412
71466446160
oct407575000
9154077718
1069138944
1136033126
121b1a2b68
1311429924
14927a5a0
15610a92e
hex41efa00

69138944 has 80 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 29184000.

The previous prime is 69138919. The next prime is 69138947. The reversal of 69138944 is 44983196.

It is a junction number, because it is equal to n+sod(n) for n = 69138895 and 69138904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69138947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361889 + ... + 362079.

Almost surely, 269138944 is an apocalyptic number.

69138944 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 69138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

69138944 is an abundant number, since it is smaller than the sum of its proper divisors (91136512).

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

69138944 is a wasteful number, since it uses less digits than its factorization.

69138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 69138944 is about 8314.9831028090. The cubic root of 69138944 is about 410.4317165836.

The spelling of 69138944 in words is "sixty-nine million, one hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 191 202 224 256 382 404 448 512 707 764 808 896 1337 1414 1528 1616 1792 2674 2828 3056 3232 3584 5348 5656 6112 6464 10696 11312 12224 12928 19291 21392 22624 24448 25856 38582 42784 45248 48896 51712 77164 85568 90496 97792 135037 154328 171136 180992 270074 308656 342272 361984 540148 617312 684544 1080296 1234624 2160592 2469248 4321184 4938496 8642368 9876992 17284736 34569472 69138944