Search a number
-
+
69930648 = 23332631231
BaseRepresentation
bin1000010101100…
…00111010011000
311212120211211000
410022300322120
5120400240043
610534505000
71506254304
oct412607230
9155524730
1069930648
1136523a27
121b505160
13116460a8
149404d04
1562152d3
hex42b0e98

69930648 has 64 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 23202720.

The previous prime is 69930643. The next prime is 69930677. The reversal of 69930648 is 84603996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69930643) 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 15 ways as a sum of consecutive naturals, for example, 56193 + ... + 57423.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 269930648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69930648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

69930648 is an abundant number, since it is smaller than the sum of its proper divisors (125218152).

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

69930648 is a wasteful number, since it uses less digits than its factorization.

69930648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 69930648 is about 8362.4546635542. The cubic root of 69930648 is about 411.9923805422.

The spelling of 69930648 in words is "sixty-nine million, nine hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 263 526 789 1052 1231 1578 2104 2367 2462 3156 3693 4734 4924 6312 7101 7386 9468 9848 11079 14202 14772 18936 22158 28404 29544 33237 44316 56808 66474 88632 132948 265896 323753 647506 971259 1295012 1942518 2590024 2913777 3885036 5827554 7770072 8741331 11655108 17482662 23310216 34965324 69930648