Search a number
-
+
122925024 = 25321073989
BaseRepresentation
bin1110101001110…
…10111111100000
322120022020102200
413110322333200
5222432100044
620110413200
73021562665
oct724727740
9276266380
10122925024
116342a432
1235201200
131c60c401
141247ba6c
15abd2369
hex753afe0

122925024 has 72 divisors (see below), whose sum is σ = 352923480. Its totient is φ = 40581888.

The previous prime is 122925007. The next prime is 122925043. The reversal of 122925024 is 420529221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1229250242 = 30221123050801152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28822 + ... + 32810.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2122925024 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 122925024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176461740).

122925024 is an abundant number, since it is smaller than the sum of its proper divisors (229998456).

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

122925024 is a wasteful number, since it uses less digits than its factorization.

122925024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122925024 is about 11087.1558120196. The cubic root of 122925024 is about 497.2179140399.

The spelling of 122925024 in words is "one hundred twenty-two million, nine hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 3989 5136 7704 7978 10272 11967 15408 15956 23934 30816 31912 35901 47868 63824 71802 95736 127648 143604 191472 287208 382944 426823 574416 853646 1148832 1280469 1707292 2560938 3414584 3841407 5121876 6829168 7682814 10243752 13658336 15365628 20487504 30731256 40975008 61462512 122925024