Search a number
-
+
105722848 = 25711107401
BaseRepresentation
bin1100100110100…
…11001111100000
321100221021111001
412103103033200
5204031112343
614254001344
72422425610
oct623231740
9240837431
10105722848
1154750160
122b4a6254
1318b985ca
1410080a40
15943544d
hex64d33e0

105722848 has 96 divisors (see below), whose sum is σ = 262579968. Its totient is φ = 40704000.

The previous prime is 105722843. The next prime is 105722873. The reversal of 105722848 is 848227501.

It is a super-2 number, since 2×1057228482 = 22354641178462208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105722843) 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 15 ways as a sum of consecutive naturals, for example, 263448 + ... + 263848.

It is an arithmetic number, because the mean of its divisors is an integer number (2735208).

Almost surely, 2105722848 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 105722848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131289984).

105722848 is an abundant number, since it is smaller than the sum of its proper divisors (156857120).

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

105722848 is a wasteful number, since it uses less digits than its factorization.

105722848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 105722848 is about 10282.1616404334. The cubic root of 105722848 is about 472.8495186448.

The spelling of 105722848 in words is "one hundred five million, seven hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 107 112 154 176 214 224 308 352 401 428 616 749 802 856 1177 1232 1498 1604 1712 2354 2464 2807 2996 3208 3424 4411 4708 5614 5992 6416 8239 8822 9416 11228 11984 12832 16478 17644 18832 22456 23968 30877 32956 35288 37664 42907 44912 61754 65912 70576 85814 89824 123508 131824 141152 171628 247016 263648 300349 343256 471977 494032 600698 686512 943954 988064 1201396 1373024 1887908 2402792 3303839 3775816 4805584 6607678 7551632 9611168 13215356 15103264 26430712 52861424 105722848