Search a number
-
+
122083424 = 2537971063
BaseRepresentation
bin1110100011011…
…01100001100000
322111201110222022
413101231201200
5222223132144
620040401012
73011456231
oct721554140
9274643868
10122083424
1162a050a1
1234a76168
131c3a6318
14122dd088
15aab7cee
hex746d860

122083424 has 48 divisors (see below), whose sum is σ = 249627168. Its totient is φ = 58724352.

The previous prime is 122083399. The next prime is 122083427. The reversal of 122083424 is 424380221.

It is a junction number, because it is equal to n+sod(n) for n = 122083393 and 122083402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122083427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114317 + ... + 115379.

It is an arithmetic number, because the mean of its divisors is an integer number (5200566).

Almost surely, 2122083424 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 122083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124813584).

122083424 is an abundant number, since it is smaller than the sum of its proper divisors (127543744).

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

122083424 is a wasteful number, since it uses less digits than its factorization.

122083424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 122083424 is about 11049.1367988635. The cubic root of 122083424 is about 496.0805887091.

The spelling of 122083424 in words is "one hundred twenty-two million, eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 97 148 194 296 388 592 776 1063 1184 1552 2126 3104 3589 4252 7178 8504 14356 17008 28712 34016 39331 57424 78662 103111 114848 157324 206222 314648 412444 629296 824888 1258592 1649776 3299552 3815107 7630214 15260428 30520856 61041712 122083424