Search a number
-
+
69794144 = 2571923231
BaseRepresentation
bin1000010100011…
…11100101100000
311212022220120022
410022033211200
5120331403034
610531533012
71505145320
oct412174540
9155286508
1069794144
1136440412
121b45a168
13115c8c14
1493ab280
1561d9b2e
hex428f960

69794144 has 144 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 26231040.

The previous prime is 69794141. The next prime is 69794147. The reversal of 69794144 is 44149796.

It is an interprime number because it is at equal distance from previous prime (69794141) and next prime (69794147).

It is a junction number, because it is equal to n+sod(n) for n = 69794095 and 69794104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69794141) 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 23 ways as a sum of consecutive naturals, for example, 2251409 + ... + 2251439.

It is an arithmetic number, because the mean of its divisors is an integer number (1238720).

Almost surely, 269794144 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 69794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187840).

69794144 is an abundant number, since it is smaller than the sum of its proper divisors (108581536).

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

69794144 is a wasteful number, since it uses less digits than its factorization.

69794144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 69794144 is about 8354.2889583734. The cubic root of 69794144 is about 411.7241374486.

The spelling of 69794144 in words is "sixty-nine million, seven hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 23 28 31 32 38 46 56 62 76 92 112 124 133 152 161 184 217 224 248 266 304 322 368 434 437 496 529 532 589 608 644 713 736 868 874 992 1058 1064 1178 1288 1426 1736 1748 2116 2128 2356 2576 2852 3059 3472 3496 3703 4123 4232 4256 4712 4991 5152 5704 6118 6944 6992 7406 8246 8464 9424 9982 10051 11408 12236 13547 13984 14812 16399 16492 16928 18848 19964 20102 22816 24472 27094 29624 32798 32984 39928 40204 48944 54188 59248 65596 65968 70357 79856 80408 94829 97888 108376 114793 118496 131192 131936 140714 159712 160816 189658 216752 229586 262384 281428 311581 321632 379316 433504 459172 524768 562856 623162 758632 918344 1125712 1246324 1517264 1836688 2181067 2251424 2492648 3034528 3673376 4362134 4985296 8724268 9970592 17448536 34897072 69794144