[go: up one dir, main page]

Search a number
-
+
108131024 = 2429534397
BaseRepresentation
bin1100111000111…
…11001011010000
321112110121212202
412130133023100
5210140143044
614421342332
72452045541
oct634371320
9245417782
10108131024
1156045491
12302679a8
131952c771
141050a4c8
15975dc4e
hex671f2d0

108131024 has 40 divisors (see below), whose sum is σ = 220867560. Its totient is φ = 51204608.

The previous prime is 108131003. The next prime is 108131059. The reversal of 108131024 is 420131801.

It can be written as a sum of positive squares in 4 ways, for example, as 25684624 + 82446400 = 5068^2 + 9080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108130987 and 108131005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22394 + ... + 26790.

It is an arithmetic number, because the mean of its divisors is an integer number (5521689).

Almost surely, 2108131024 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 108131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110433780).

108131024 is an abundant number, since it is smaller than the sum of its proper divisors (112736536).

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

108131024 is a wasteful number, since it uses less digits than its factorization.

108131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 108131024 is about 10398.6068297633. The cubic root of 108131024 is about 476.4128189080.

Adding to 108131024 its reverse (420131801), we get a palindrome (528262825).

The spelling of 108131024 in words is "one hundred eight million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 4397 6148 8794 12296 17588 24592 35176 70352 127513 233041 255026 466082 510052 932164 1020104 1864328 2040208 3728656 6758189 13516378 27032756 54065512 108131024